{"pages":{"search":{"query":"The Real Numbers - Topic","originalQuery":"The Real Numbers - Topic","serpid":"1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL","reqid":"1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL","parentReqid":"","serpItems":[{"id":"426935803319995637-0-0","type":"videoSnippet","props":{"videoId":"426935803319995637"},"curPage":0},{"id":"18278630134421287309-0-1","type":"videoSnippet","props":{"videoId":"18278630134421287309"},"curPage":0},{"id":"8445986603895608439-0-2","type":"videoSnippet","props":{"videoId":"8445986603895608439"},"curPage":0},{"id":"12573071377253269027-0-3","type":"videoSnippet","props":{"videoId":"12573071377253269027"},"curPage":0},{"id":"R-I-113683-5-0-4","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":4,"grab":"dFRoZSBSZWFsIE51bWJlcnMgLSBUb3BpYwo=","statId":4,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL","ui":"desktop","yuid":"1843699291769649382"}}},"isAdult":false,"position":4,"placement":"empty"},"curPage":0},{"id":"6478997002530352941-0-5","type":"videoSnippet","props":{"videoId":"6478997002530352941"},"curPage":0},{"id":"461365985180358103-0-6","type":"videoSnippet","props":{"videoId":"461365985180358103"},"curPage":0},{"id":"16869968865770808810-0-7","type":"videoSnippet","props":{"videoId":"16869968865770808810"},"curPage":0},{"id":"7576687846820919495-0-8","type":"videoSnippet","props":{"videoId":"7576687846820919495"},"curPage":0},{"id":"12490249129113027370-0-9","type":"videoSnippet","props":{"videoId":"12490249129113027370"},"curPage":0},{"id":"17589800317966250982-0-10","type":"videoSnippet","props":{"videoId":"17589800317966250982"},"curPage":0},{"id":"R-I-113683-5-0-11","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":11,"grab":"dFRoZSBSZWFsIE51bWJlcnMgLSBUb3BpYwo=","statId":11,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL","ui":"desktop","yuid":"1843699291769649382"}}},"isAdult":false,"position":11,"placement":"empty"},"curPage":0},{"id":"17071269543983359173-0-12","type":"videoSnippet","props":{"videoId":"17071269543983359173"},"curPage":0},{"id":"996784584839803033-0-13","type":"videoSnippet","props":{"videoId":"996784584839803033"},"curPage":0},{"id":"15703873355094964597-0-14","type":"videoSnippet","props":{"videoId":"15703873355094964597"},"curPage":0},{"id":"13387970390743468328-0-15","type":"videoSnippet","props":{"videoId":"13387970390743468328"},"curPage":0},{"id":"14055280026505266847-0-16","type":"videoSnippet","props":{"videoId":"14055280026505266847"},"curPage":0},{"id":"14895859367404493485-0-17","type":"videoSnippet","props":{"videoId":"14895859367404493485"},"curPage":0},{"id":"2970171038860985058-0-18","type":"videoSnippet","props":{"videoId":"2970171038860985058"},"curPage":0},{"id":"14326302130228931125-0-19","type":"videoSnippet","props":{"videoId":"14326302130228931125"},"curPage":0}],"filters":{},"serpFooter":{"linksGroups":[{"type":"geo","links":[{"label":"Columbus","title":"Columbus","url":"//yandex.com.tr/tune/geo/","logNode":{"name":"region"},"target":"_self","a11yLabel":"Bölgeniz Columbus","needRetpath":true}]},{"type":"help","links":[{"label":"Bize ulaşın","url":"https://yandex.com.tr/support/video/troubleshooting.html","logNode":{"name":"feedback"},"needRetpath":true},{"label":"Yardım","url":"https://yandex.com.tr/support/video/","logNode":{"name":"help"},"needRetpath":true}]},{"type":"settings","links":[{"label":"Ayarlar","url":"https://yandex.com.tr/tune/search/","target":"_self","logNode":{"name":"settings"},"needRetpath":true}]},{"type":"company","links":[{"label":"Şirket hakkında","url":"//yandex.com.tr/company/","logNode":{"name":"about"},"target":"_blank"},{"label":"Kullanım lisansı","url":"//yandex.com.tr/legal/termsofuse/","logNode":{"name":"license"},"target":"_blank"},{"label":"Gizlilik Politikası","url":"//yandex.com.tr/legal/confidential/","logNode":{"name":"confidential"},"target":"_blank"}],"a11yHidden":true}],"hasExtralinks":true},"currentPage":0,"prevPageToLoad":-1,"nextPageToLoad":1,"isTranslationsFilterEnabled":false,"isTranslationsDistributionEnabled":false,"isTranslationsDistributionOnboardingEnabled":false,"prevention":{},"hasNextPage":true,"rightSerpItems":[{"type":"direct","id":"search-list-right","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"R-I-8843654-1","renderTo":"search-list-right-0-R-I-8843654-1","pageNumber":0,"grab":"dFRoZSBSZWFsIE51bWJlcnMgLSBUb3BpYwo=","darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL","ui":"desktop","yuid":"1843699291769649382"}}},"isAdult":false,"position":0,"placement":"search-list-right"},"curPage":0}],"isAdultQuery":false,"errorList":[],"layout":"list","retpath":"https%3A%2F%2Ftwitter.yandex.com.tr%2Fvideo%2Fsearch%3Ftext%3DThe%2BReal%2BNumbers%2B-%2BTopic"},"main":{"_isInitial":true,"snippets":[],"serpFooter":{"linksGroups":[]},"isLoggedIn":false,"tags":[]}},"internal":{"nonce":"8308812227712287587138","expFlags":{"video_settings_toolbar_redesign":1,"velocity_delay_drawer":1,"video_feedback_in_d2d":1,"video_viewer_heartbeat_disabled_in_no_js_api":1,"video_search_toggle_with_text":1,"velocity_disable_suspense":1,"video_viewer_desktop_smart_layout":1,"dark_theme_desktop":"cookie","distr_splashscreen_on":1,"video_viewer_check_sandbox_origin":1,"video_font_yandex_sans":1,"video_adv_new_show_rules":1,"video_resource_loader":1,"video_adv_config_desktop":{"search-list":{"adult":{"default":"R-I-474674-135","mail":"R-A-13426421-23"},"regular":{"default":"R-I-48058-751","mail":"R-A-13411721-23"}},"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"new_template_version":4,"video_search_page_no_islands":1,"video_vh_player_js":0,"video_masthead_ratio":"180,4","video_searchdata_scheme":1,"video_viewer_related_fail_error_screen":1,"velocity_delay_metrika":1,"video_viewer_no_islands":1,"video_viewer_channel_link_mode":2,"video_partner_label":1,"video_resource_loader_load_timeout":6000,"int_tr":1,"mmui_extended_escape_scheme":"searchdata.clips.0.authorname","tabs_order_version":"search,images,video,newstr,maps,translate,tr_ecom","spok":"id","video_suggest_use_serp":1,"video_search_grid_direct_repeat":6,"video_viewer_critical_error_codes":"101,102,103,100,151,152,153,154,155,156,150","video_direct_config_desktop_search":"search-grid-row:R-I-48058-718:R-I-474674-109,search-grid-head:R-I-2120168-7","init_meta":{"enable-yabs-distr":1,"ask-user-purchase-history":1,"use-src-videoquickp":1,"enable-begemot":1,"enable_masthead":1,"use-src-videop":1,"use-src-videoquickp_misspell":1,"enable_blackbox_multisession":1,"begemot-enable-cancelled-misspell-rtmr":1,"enable_video_iron_fetcher":1,"use-related-only":1,"ask-yandex-io-devices":1,"use-images-device-setup":1,"use-src-imagesp":1,"images-apphost-collections-front":1,"enable_aab_apphost":1,"graph-is-video-search":1,"bg-bert-video":1,"use-src-imagesp_misspell":1,"use-src-imagesultrap":1,"use-video-apphost-pre-templates":1,"use-src-videop_misspell":1,"use-video-apphost-post-templates":1,"use-src-imagesquickp":1,"enable_video_carousels":"1","restrict-max-docs":"1000","use-images-region-setup":1,"use-post-auto2":1,"use-images-settings-setup":1,"use-src-ugc_favorites":1,"video_vitrina_disable":"0","use-images-user-setup":1,"use-video-pre-search-data":1,"begemot-no-suggest-history":1},"video_depot_viewer_masthead_ssr_only":1,"video_blender":1,"video_search_grid_enable":0,"video_viewer_desktop_fix_d2d_scroll":1,"video_depot_viewer_legacy_counters":1,"video_search_grid_direct_start":3,"video_adv_new_show_rules_docs_count":1,"beauty_header_futuris_tab":9,"video_related_suggest_enable":1,"video_redirect_plug":2,"video_adv_grid_inplace":1,"distr_popup_on":1,"dark_theme_desktop_default_pref":"system","video_search_toggle_enable":1,"video_depot_viewer_related_adv_margin":400,"video_viewer_doc2doc_instant_load":1,"velocity_split_hydration":4,"video_duration_counter_new_format":1,"video_force_grid_on_premordie":1,"int_online_summarization_video_snippet":1,"video_morda_header_nav":1,"video_nohost_full_filter":1,"distr_pcode_off":1,"video_baobab_blockstat":1,"video_thumb_poster_full":1,"video_scrollpages":2,"video_serp_desktop_block_design":1,"video_nohost_youtube_filter":0,"video_viewer_host_link_mode":1},"slots":["1470499,0,46;1457622,0,48;1471439,0,60;1473742,0,57;1459297,0,72;1312966,0,56;1152684,0,2;1456929,0,38;1459323,0,76;27382,0,72;30275,0,58;1464524,0,55;1470250,0,54;1463532,0,66;1466295,0,69;1470795,0,7;1352123,0,15;1467161,0,57;1464405,0,95;1474027,0,65;1471678,0,23;1404022,0,76;1462741,0,72;151171,0,4;126331,0,45;126350,0,67;1281084,0,44;287509,0,42;1447467,0,25;1006026,0,65;1473596,0,19;1468028,0,27;1467129,0,20"],"isYandexNet":false,"platform":"desktop","isEnLogo":true,"retpath":"https%3A%2F%2Ftwitter.yandex.com.tr%2Fvideo%2Fsearch%3Ftext%3DThe%2BReal%2BNumbers%2B-%2BTopic","mordaUrl":"//yandex.com.tr/","videoSearchUrl":"https://twitter.yandex.com.tr/video/search?text=The+Real+Numbers+-+Topic","settingsUrl":"https://yandex.com.tr/tune/search/","helpUrl":"https://yandex.com.tr/support/video/","legalUrl":"//legal.yandex.com.tr/termsofuse/","feedbackUrl":"https://yandex.com.tr/support/video/troubleshooting.html","basename":"/video","currentPageName":"search","isYandexApp":false,"isYandexAppAndroid":false,"isYandexAppIos":false,"isAnyYaBro":false,"isAndroid":false,"isHamster":false,"serpid":"1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL","backUrl":"//ya.ru","url":"https://twitter.yandex.com.tr/video/search?text=The+Real+Numbers+-+Topic","isIntegrationTest":false,"isEndToEndTest":false,"shouldDropLogs":false,"seo":{"title":"The Real Numbers - Topic: Yandex'te 2 bin video bulundu","description":"Результаты поиска по запросу \"The Real Numbers - Topic\" в Яндексе","keywords":"яндекс видео, поиск видео, смотреть онлайн, сериалы, фильмы, клипы","shareTitle":"The Real Numbers - Topic — Яндекс — поиск по видео"},"isEmbedded":false,"isPumpkin":false,"sessionCsrfToken":"yb99ee7b7ada96430752f50cc6e3e31d1","reportFeedbackBaseProps":{"initEmail":"","metaFields":{"userAgent":"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)","userTestids":"1470499,1457622,1471439,1473742,1459297,1312966,1152684,1456929,1459323,27382,30275,1464524,1470250,1463532,1466295,1470795,1352123,1467161,1464405,1474027,1471678,1404022,1462741,151171,126331,126350,1281084,287509,1447467,1006026,1473596,1468028,1467129","queryText":"The Real Numbers - Topic","reqid":"1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL","userRegionName":"","userRegionId":"id() {\n return this._region.id;\n }","yandexuid":"1843699291769649382","uid":"0","isChildAccount":false}},"userTestids":"191768,238743,246500,253288,265553,270072,277807,274239,294077,278842,331010,338398,378416,359879,415420,644350,652605,645301,679708,689693,690449,696466,696473,722746,740796,776165,771230,781521,790415,801982,851450,886706,883477,900639,931367,937268,969063,935488,945314,989988,982463,991363,990185,1015567,1011895,1035320,1033956,1035241,1036046,1087297,1060131,1071879,1078818,1077703,1116602,1045814,1131637,1144233,1151726,1156933,1174275,1173000,1167408,1202006,1194718,1221235,1228280,1239596,1227266,1226860,1246754,1276447,1289213,1316370,1313283,1321224,1300570,1320679,1352408,1342688,1344637,1341968,1345362,1343279,1367583,1336673,1348424,1382036,1391511,1384451,1402882,1407422,1417605,1424780,1429092,1438908,1444206,1449283,1452713,1457995,1459277,1459585,1461130,1472666,1475824,1466451,1299604","regionId":20815,"isYaRu":false,"shouldUnmountSearchPageInViewer":false,"videoGlobalContext":{"platform":"desktop","isPumpkin":false,"language":"tr","user_time":{"epoch":"1769649384","tz":"America/Louisville","to_iso":"2026-01-28T20:16:24-0500","__is_plain":1},"isHermione":false,"shouldStubImages":true,"enableVideoPreviewInHermione":false,"reqid":"1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL","isEmbedded":false,"shouldShowMainPageButtonInViewer":false,"shouldDisableWebp":false,"removeLinkPrefix":"/video","shouldUseHighresPreview":true,"shouldCutSnippetTitle":true,"shouldShowPlusBadge":true,"reportFeedbackBaseProps":{"initEmail":"","metaFields":{"userAgent":"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)","userTestids":"1470499,1457622,1471439,1473742,1459297,1312966,1152684,1456929,1459323,27382,30275,1464524,1470250,1463532,1466295,1470795,1352123,1467161,1464405,1474027,1471678,1404022,1462741,151171,126331,126350,1281084,287509,1447467,1006026,1473596,1468028,1467129","queryText":"The Real Numbers - Topic","reqid":"1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL","userRegionName":"","userRegionId":"id() {\n return this._region.id;\n }","yandexuid":"1843699291769649382","uid":"0","isChildAccount":false}},"deviceDetect":{"OSFamily":"Unknown","isTV":0,"x64":0,"GoogleToolBarVersion":"","MultiTouch":0,"BrowserBase":"","YandexBarVersion":"","isTablet":0,"YandexBar":0,"hasWebOmni":0,"isTouch":0,"hasYandexCamera":0,"isMobile":0,"DeviceKeyboard":"","device":"desktop","TurboAppPlatformVersion":"","historySupport":0,"BrowserShellVersion":"","DeviceVendor":"","isBrowser":0,"hasFlash":0,"MailRuSputnikVersion":"","isSameSiteSupported":0,"BrowserBaseVersion":"","BrowserVersionRaw":"","hasWebVert":0,"DeviceId":"","error":"","MailRuAgent":0,"ScreenWidth":0,"inAppBrowser":0,"hasHTML5":0,"isEmulator":0,"J2ME":0,"MailRuAgentVersion":"","BrowserEngineVersionRaw":"537.36","isRobot":1,"__is_plain":1,"BrowserEngineVersion":"0537.0036","BrowserName":"Unknown","DeviceModel":"","BrowserEngine":"WebKit","DeviceName":"","OSVersionRaw":"","OSName":"","GoogleToolBar":0,"ScreenSize":"","isTurboApp":0,"MailRuSputnik":0,"YaBuildName":"","isWAP":0,"PreferMobile":0,"DesktopMode":0,"BrowserVersion":"","BitsPerPixel":0,"BrowserShell":"","YaGUI":"","isBeta":0,"OSVersion":"","ScreenHeight":0},"nonce":"8308812227712287587138","disableDoc2DocHostLink":false,"shouldHideChannelLink":false,"disableChannelLink":false,"userConnectionRtt":146,"animated":false,"isDoc2DocScrollFix":true,"smartDesktopLayout":true,"enableVIImprovements":false,"enableLazyPoster":false,"isAdvDisabled":false,"shouldShowVideoPlaylistPane":false,"isVideoTranslationSupported":false,"isSummaryDisabled":false,"isSummaryOnlineEnabled":true,"shouldRenderBroSummaryApiContainer":false,"shouldDropLogs":false,"shouldUseBeacon":false,"hasAdBlock":false,"rknWarnHosts":[""],"relatedAdvRootMargin":400,"postInstreamScreenDuration":2000,"minVideoDurationForInstream":120,"isInstreamEnabledInTesting":false,"isFinalHeartbeatDisabledInNoJsApi":true,"wildcard":false,"isAdvUnderPlayerRedesign":false,"disableEarlyEventsInD2d":false,"isDoc2DocInstantLoadEnabled":true,"disableEarlyEventsUnsubscribe":false,"showDebugRelatedURL":false,"shouldUseBetaErrorLogging":false,"shouldShowMetaUnderPlayer":false,"isVideoViewerMetaTitleHidden":false,"isStickyPlayerDisabled":false,"headerNoFavicon":false,"headerBranded":false,"shouldCensorSensitiveContent":false,"isAdvUnderPlayerTransparent":false,"isDoc2DocGridLayoutEnabled":false,"detailsRedesignEnabled":false,"detailsRedesignV2Enabled":false,"detailsRedesignV3Enabled":false,"isIslandsDisabled":true,"isD2DEmptyLoadFixDisabled":false,"isRoundedPlayerEnabled":false,"isSettingsToolbarRedesign":true,"isDoc2DocEmptyRetryEnabled":false,"isAdvUnderPlayerWithBackdrop":false,"isTouchAdvWithBackdrop":false,"isDoc2DocErrorScreenEnabled":true,"isDoc2DocFeedbackKebabEnabled":true,"isCommentsEnabled":false,"isCommentsCountOnSnippetsEnabled":false,"criticalErrorCodes":["101","102","103","100","151","152","153","154","155","156","150"],"isVideoMainButtonInitiallyCollapsed":false,"isAdvUnderPlayerWithInnerPadding":false,"isKebabAdvancedActionsEnabled":false,"isKebabOnTouchVideoSearchEnabled":false,"isAdvVideoListLikeUnderPlayer":false,"isSummaryInMetaButtons":false,"isSummaryInMetaButtonsDesktop":false,"isMetaCommentsButtonEnabled":false,"preventAdvHideOnEmpty":false},"shouldShowAdvId":false,"isAdultQuery":false,"isSensitivePage":false,"showSensitive":false,"shouldReplaceHref":false},"user":{"tld":"com.tr","isEuDomain":false,"login":"","passportId":"","isLoggedIn":false,"locationName":"Columbus","isFamily":false,"yandexuid":"1843699291769649382","ugcCsrfToken":"","family":1,"isChild":false},"config":{"skinMode":"system","skin":"light","version":"releases-frontend-video-v1.1757.0__1e42d45c824ef14ef6767326055fb713b0c3a145","isGridSupported":false,"advConfig":{"under-player":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"under-player-lite":{"regular":{"default":"R-I-48058-728"},"adult":{"default":"R-I-474674-103"}},"under-player-old":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"video-list":{"regular":{"default":"R-I-48058-708","mail":"R-A-13411721-2"},"adult":{"default":"R-I-474674-101","mail":"R-A-13426421-2"}},"search-list":{"adult":{"default":"R-I-474674-135","mail":"R-A-13426421-23"},"regular":{"default":"R-I-48058-751","mail":"R-A-13411721-23"}},"search-grid-row":{"regular":{"default":"R-I-48058-718","mail":"R-A-13411721-4"},"adult":{"default":"R-I-474674-109","mail":"R-A-13426421-4"}},"search-grid-head":{"regular":{"default":"R-I-2120168-7"}},"search-list-right":{"regular":{"default":"R-I-8843654-1"}},"before-player-old":{"regular":{"default":"R-I-2120168-1"}},"before-player":{"regular":{"default":"R-I-2120168-1"}},"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"isSkinInitedOnClient":false},"counters":{"params":{"useBeacon":false,"clickHost":"twitter.yandex.com.tr/clck","pid":197},"dict":{"viewer":"2921","user":"538","info":"1275","sources":"1500","select":"775","close":"486","open":"842","source":"186","link":"513","click":"882","tech":"690","player":"1242","change":"719","summary":"3410","init":"1309","item":"22","button":"440","shown":"3780","copy":"1276","text":"232","load":"1724","fallback":"2010","channel":"1345","hide":"1656","serp":"471","pager":"405","down":"601","up":"600","footer":"295","more":"75","page":"143","loaded":"1007","grid":"3223","support":"2458","client":"2989","layout":"54","list":"436","duration":"2136","within":"3247","on":"10","off":"11","host":"3052","supported":"3761","enable":"2396","disable":"2395","full":"318","video":"231","translation":"347","distrib":"316","onboarding":"2045","filters":"618","lang":"1144","advanced":"255","apply":"2461","reset":"3236","short":"142","toggle":"237","snippet":"254","icon":"1167","abuse":"1436","submit":"297","wizard":"358","incut":"1073","out":"3218","popup":"1544","scroll":"768","show":"487","retry":"3545","feedback":"296","region":"287","help":"177","settings":"1137","recommendations":"2671","home":"1319","soo":"65","youtube":"624","google":"66","bing":"568"}},"clips":{"items":{"426935803319995637":{"videoId":"426935803319995637","docid":"34-9-11-ZF27651E5E346E7CD","description":"TYT MATH VDK Sales LINK: https://www.kitapisler.com/bilgi-sarm... Bilgi Sarmal 49 DAYS TYT MATH CAMP Program https://drive.google.com/file/d/1OxnH... 49 DAYS TYT MATH | DAY 1 Lesson 2: Real...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4044009/0b21f95380131c6b8fc4350e4a136613/564x318_1"},"target":"_self","position":"0","reqid":"1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D1fO4ZNPWm5Y","linkTemplate":"/video/preview/426935803319995637?parent-reqid=1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL&text=The+Real+Numbers+-+Topic&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Real numbers - 2 topic explanation and question solution tyt mathematics camp","related_orig_text":"The Real Numbers - Topic","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"The Real Numbers - Topic\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=1fO4ZNPWm5Y\",\"src\":\"serp\",\"rvb\":\"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_E4ENggQkAYAEKyqLARABGniBAP4AAAH_APT-Cg0CB_wBCwDvAfb__wDwAf8F9gEAAAEL-gAGAQAABQ70CgUAAADw9-8I-gAAAPYA9gb2AAAAEgUG-fgAAAACFfT4_wEAAOv3Av8DAAAAF_v8_gAAAAD-_Av5-_8AAPgAARIAAAAA-wkHA_8AAAAgAC30mNA7OBNACUhOUAIqcxAAGmAJCgAhAQ3u9evy9dr95Bfa4fnmCdfzAAH1AA8X8vQkRuDF4vwALusVAMMAAAAdEP0iIQDsSfjw9jkU5hHi2enz-X_aCPgH_fMLzAv04BTiDwLjMx8AAuv1Ex8aykT-JSMgAC0Ynlo7OBNACUhvUAIqrwYQDBqgBgAACMIAAJDBAABAQgAAyEEAANBBAACAPwAA0EEAAKDAAADIwQAAXMIAAIhBAACQwQAAhMIAAGzCAAAEQgAAksIAAEDBAAAQwgAAQMAAABDBAACqQgAAyMIAAFzCAAAwQQAAiEEAAEBAAACOwgAAAEAAAI5CAABMQgAA-MEAAABCAACAwgAAOEIAAPBBAADoQQAA8EEAAEhCAADgwAAASMIAAChCAAAYQgAAHEIAAADAAABgQQAAGEIAALjBAABIwgAAWEIAAODAAADgQAAA4MEAAAAAAACAvwAAAEIAADRCAAC4QQAAgMAAAAhCAACgQAAApkIAADBBAACAQAAAKMIAAMjBAAC4QQAAoEAAAPDBAAA0wgAA8EEAACxCAAAAQQAA4MIAAKZCAADOwgAAqMEAAJDBAAAAwAAAJMIAAILCAAAwwQAA4MAAAMBAAABEQgAAuMEAACBCAABAwQAA-MEAANBBAAAIQgAA4MAAAIA_AABEwgAACMIAAOhBAAB0wgAAGEIAAABCAAAkQgAADEIAAABBAABIQgAA2EEAAOjBAAAgwgAAiMEAABhCAAAYQgAAikIAAARCAACoQQAAYMEAAAjCAADYwQAAnkIAAKBAAAAAwQAAisIAANjBAABQwQAAAEAAAETCAAAAAAAAlsIAALhCAAC-QgAAiEEAALLCAACQwQAAiMEAAEBAAACwwQAAoMAAADRCAAAQQQAASMIAALDBAAB0wgAAOMIAAOjBAAAAQQAAEEEAAGzCAACwQQAAUEIAAFRCAAAgQQAAmEEAAPBBAACQQQAAREIAABDBAAAgwQAATMIAAGxCAACgQAAA4MEAANjCAACgwAAAkkIAAAzCAAAIQgAAMMEAAABAAADAwQAAkMIAAEhCAADAQQAAKEIAAKDAAABUwgAA6MEAAJDBAABgwQAAEMEAAATCAACYwgAAgMIAAMBAAAAEQgAAUEEAABDBAABQwgAAFMIAAADBAABwwgAAgL8AAPBBAACIwQAA4MAAAMhBAAAUwgAAjEIAADhCAABAwAAAkMEAACxCAACAwAAAyMEAAABAIAA4E0AJSHVQASqPAhAAGoACAAC4PQAAPL4AADC9AADIvQAAcL0AAKI-AAB0PgAAbb8AAIA7AABMPgAAgLsAAKK-AACIPQAAmj4AAKa-AABQPQAAnj4AAAQ-AACCPgAAMT8AAH8_AAA8vgAAgLsAABw-AACGvgAADL4AAKA8AABwPQAAcD0AAIi9AAB0PgAAdL4AAKA8AACYvQAAND4AAJg9AAC4PQAAEL0AALa-AADovQAAFL4AAIY-AAAQPQAAuL0AAEy-AAB8vgAAHD4AAFS-AAAMPgAAPL4AAJg9AACgvAAAuj4AAN4-AABkvgAA4DwAAFk_AAD4PQAAML0AADA9AAA8vgAAXD4AAPg9AAC4PSAAOBNACUh8UAEqjwIQARqAAgAAVL4AAGy-AADYPQAAQ78AAEC8AAAQPQAAJD4AAIg9AAAEPgAAMD0AAEC8AACIPQAAcD0AAIC7AAAQPQAAQDwAAKi9AAAxPwAA4LwAAAM_AAAQvQAADL4AAEC8AABUvgAAgLsAAAy-AACYPQAAmD0AAAQ-AAAsPgAAgLsAABw-AADIvQAAlr4AAJo-AACAuwAAgj4AACw-AAB0vgAAoj4AAHQ-AACqvgAA6L0AAIg9AADYvQAAmL0AAH-_AAAQvQAAFL4AADA9AABwvQAAEL0AAJi9AAAwPQAAlj4AABw-AABwvQAAHL4AAOg9AAAQPQAALD4AAAS-AACgvAAAyD0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=1fO4ZNPWm5Y","parent-reqid":"1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["426935803319995637"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"18278630134421287309":{"videoId":"18278630134421287309","docid":"34-7-7-Z7A70E8FAA599CBA0","description":"TYT MATH VDK Sales LINK: https://www.kitapisler.com/bilgi-sarm... Bilgi Sarmal 49 DAYS TYT MATH CAMP Program https://drive.google.com/file/d/1OxnH... 49 DAYS TYT MATH | DAY 1 Lesson 1: Real...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3444661/6b45097f8a023d64f03774031da1b55d/564x318_1"},"target":"_self","position":"1","reqid":"1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DVvHhDvwTVRc","linkTemplate":"/video/preview/18278630134421287309?parent-reqid=1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL&text=The+Real+Numbers+-+Topic&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Real numbers - 1 topic explanation and question solution tyt mathematics camp","related_orig_text":"The Real Numbers - Topic","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"The Real Numbers - Topic\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=VvHhDvwTVRc\",\"src\":\"serp\",\"rvb\":\"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_FIIEJAGABCsqiwEQARp4gf_8BfoE_AD0AgQGCAX9AQwA7gH1__8A7wH_BfUBAAAEBfEF_AEAAAUP8wsGAAAA7Oj5BvwBAAD2APUG9QAAABMFBvn3AAAAABn1B_4AAADk6f4AAwAAABj7_P4AAAAA_vwM-fr_AAD4AAETAAAAAPsJCAP_AAAAIAAti_vHOzgTQAlITlACKnMQABpgCAsAHwAN8fLv-fXb-OsX4OX75hHa9gAB9wANGPT1IEnixur_ACjpFgDGAAAAGhD9IhkA7UX37vIyFugR49_o8_1_1QnyBfzyCMkI8-AU5gsG6jQdAAHv9hAcGclB_x4hIAAtr6hjOzgTQAlIb1ACKq8GEAwaoAYAABzCAADQwQAAVEIAAKBBAACgQQAAMEEAAJhBAAAgwQAAyMEAAHTCAACYQQAAQMEAAIDCAABgwgAAEEIAAIrCAACAwQAABMIAAADBAADgwAAAlkIAAMLCAABcwgAAQEEAABBBAAAgQQAAgsIAAIC_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-AABwvQAADL4AAKi9AACWPgAALD4AAFG_AACAOwAADD4AAJi9AAB0vgAAcD0AAII-AADCvgAAmD0AAII-AADoPQAAmD0AACM_AAB_PwAAyL0AAKA8AAAkPgAAJL4AAES-AAAcPgAAPD4AABA9AAC4vQAARD4AAGy-AABAPAAAQDwAAAw-AADYPQAARD4AAFy-AAC2vgAAXL4AAHS-AADIPQAALD4AANi9AACYvQAAdL4AAKg9AADovQAAMD0AAJq-AADoPQAAQDwAAK4-AAD-PgAAqr4AAOC8AABhPwAAMD0AAIg9AACAOwAA6L0AAJI-AAAMPgAAiL0gADgTQAlIfFABKo8CEAEagAIAACy-AABkvgAAcD0AADG_AABAvAAA4DwAAMg9AAC4PQAAuD0AABA9AAC4vQAAUD0AAJg9AAAwvQAAiD0AAEC8AACIvQAALz8AAOC8AAAHPwAAqL0AAPi9AABAvAAAPL4AAOA8AAAsvgAAqD0AAOA8AAAkPgAADD4AAOC8AAAUPgAAiL0AAIq-AACOPgAAQLwAAGQ-AAA8PgAATL4AAKo-AABMPgAAjr4AAOi9AAAwPQAA2L0AAPi9AAB_vwAAUL0AACy-AAAwPQAAUL0AALi9AAC4vQAAMD0AAJI-AAAMPgAAcL0AABy-AABAPAAAyD0AAAw-AACIvQAAgLsAABA9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=VvHhDvwTVRc","parent-reqid":"1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["18278630134421287309"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"8445986603895608439":{"videoId":"8445986603895608439","docid":"34-0-15-ZC7A02733E48E6223","description":"TYT MATH VDK Sales LINK: https://www.kitapisler.com/bilgi-sarm... Bilgi Sarmal 49 DAYS TYT MATH CAMP Program https://drive.google.com/file/d/1OxnH... 49 DAYS TYT MATH | DAY 2 Lesson 1: Real...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/789466/abf078b74983c7b94e428bd091b6751d/564x318_1"},"target":"_self","position":"2","reqid":"1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Dsc-x3R1nU6k","linkTemplate":"/video/preview/8445986603895608439?parent-reqid=1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL&text=The+Real+Numbers+-+Topic&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Real numbers - 3 topic explanation and question solution tyt mathematics camp","related_orig_text":"The Real Numbers - Topic","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"The Real Numbers - Topic\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=sc-x3R1nU6k\",\"src\":\"serp\",\"rvb\":\"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__AX6BPwA-wMDDwsJ-gIMAO4B9f__AO8B_wX1AQAABQT7BQEBAAAFD_MLBgAAAOzo-Qb8AQAA-AfuAAMAAAATBQb59wAAAAYWAPr-AQAA7PL9DAT_AAAY-_z-AAAAAP78DPn6_wAA-AABEwAAAAADDQMEAAAAACAALYv7xzs4E0AJSE5QAipzEAAaYA4OACcGCuz35_T02fvoGuXp8-QO1_EAAfUAFhTp-SRP4sfp_AAr8BkCwwAAABsT-yAaAO1J9uz1PRjhE9va5PX4f9QN8AsB8Q3KCPPjFeEEBecuFQAB8PERJxjDQvUfGiAALSLoWDs4E0AJSG9QAiqvBhAMGqAGAAAAwgAAuMEAAFRCAACwQQAAwEEAAODAAACAQQAAIMEAANjBAAB8wgAAcEEAAJDBAACEwgAAYMIAAOBBAACYwgAAcMEAABTCAABAwQAAkMEAAJxCAADAwgAATMIAAJBBAABgQQAAUEEAAITCAABAwAAAikIAAEhCAAAYwgAABEIAAHTCAAA0QgAA8EEAANBBAADgQQAAgkIAAHDBAABQwgAATEIAABBCAAAsQgAAEMEAAIhBAAAIQgAAoMEAAEDCAABMQgAAEMEAAGBBAACwwQAAQEAAABBBAAAUQgAAMEIAANhBAADAwAAA-EEAAABBAACkQgAAUEEAAIBAAAAUwgAA4MEAAPhBAAAAAAAA-MEAACjCAAAMQgAAPEIAABBBAADiwgAArkIAAMDCAACwwQAA2MEAAMDAAAAwwgAAhsIAACDBAACYwQAAcEEAAEBCAAD4wQAAOEIAAEDAAAAUwgAA4EEAAPhBAAAwwQAAgL8AADDCAAAQwgAA-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-AABhvwAAgLsAABQ-AADovQAAdL4AABw-AACCPgAANL4AAIg9AABkPgAAPD4AALg9AAAZPwAAfz8AANi9AACIPQAABD4AAGy-AACSvgAA4DwAABA9AABwPQAADL4AAFQ-AACevgAAcD0AADC9AABQPQAAqD0AAIA7AAAkvgAAxr4AADS-AAA0vgAAjj4AAIC7AABMvgAA6L0AAHS-AAAEPgAAXL4AAPg9AACOvgAAED0AAMg9AACKPgAA2j4AAN6-AADgvAAAZz8AANg9AACgPAAADD4AACS-AAA8PgAA6D0AAFC9IAA4E0AJSHxQASqPAhABGoACAABMvgAAkr4AAPg9AAA9vwAAoLwAADA9AACoPQAAqD0AAKg9AABAPAAAuL0AAFA9AACoPQAAQLwAAJg9AACgPAAAmL0AAD0_AACgvAAAAT8AABC9AAAMvgAAQLwAADy-AADgvAAAFL4AAKg9AACgPAAALD4AADQ-AACgvAAAFD4AADC9AAC2vgAAnj4AAIg9AAAsPgAAHD4AAFy-AACePgAAPD4AAIK-AACYvQAAoDwAAOi9AACovQAAf78AAIi9AAD4vQAAUL0AADC9AAC4vQAAUL0AAHA9AACePgAADD4AAOC8AAD4vQAA4DwAAFA9AAA0PgAA2L0AAIC7AAAQPSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=sc-x3R1nU6k","parent-reqid":"1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["8445986603895608439"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"12573071377253269027":{"videoId":"12573071377253269027","docid":"34-2-7-Z14A850BFF271B75D","description":"TYT MATH VDK Sales LINK: https://www.kitapisler.com/bilgi-sarm... Bilgi Sarmal 49 DAYS TYT MATH CAMP Program https://drive.google.com/file/d/1OxnH...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1646513/1ca2eb1962e9f2b0ca0fc2a52777a1e3/564x318_1"},"target":"_self","position":"3","reqid":"1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D1-gOsb-0d4c","linkTemplate":"/video/preview/12573071377253269027?parent-reqid=1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL&text=The+Real+Numbers+-+Topic&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Real numbers - 10 topic explanations and question solutions tyt mathematics camp","related_orig_text":"The Real Numbers - Topic","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"The Real Numbers - Topic\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=1-gOsb-0d4c\",\"src\":\"serp\",\"rvb\":\"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_FYIEJAGABCsqiwEQARp4gQIFBfcG-QDzAgQGCAX9AQwA7gH1__8A7wH_BvUBAAAFBPsFAQEAAPoR7v8EAAAA7_buCPoAAAADDfIC7gD_AAsFE_X4AAAAAhfz9_4BAADr8v0NBP8AABMG9f3_AAAA_vsM-fr_AAD1EP0UAAAAAAMOBAQAAAAAIAAt-rDAOzgTQAlITlACKnMQABpgEwIAIf3_7_j_8fjS7O0b6On13QrU9__68AAPGfLsIkfjwPP8ACzfFv3DAAAAFQ8CHxIA6kn76wA0G-kb1ufz8gt_0w7gDQTzDsgR8dQT4gn35TAjAAX29xMYFs1D-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-L0AAFA9AACWPgAA4DwAAFu_AAAUPgAAHD4AADA9AAAsvgAADD4AAKo-AACKvgAAML0AAHQ-AAAEPgAAED0AAOo-AAB_PwAAqD0AAAw-AAAcPgAAUL0AADS-AACIPQAAoDwAAJg9AADgvAAALD4AALq-AADgPAAAuL0AAEA8AAAEPgAAuD0AAAy-AADGvgAAir4AAIK-AAD4PQAAcD0AADC9AACgPAAADL4AACQ-AAC4vQAAqD0AALK-AAAUPgAAyD0AAIY-AACWPgAAor4AAIi9AABZPwAADD4AAOA8AABwvQAARL4AAJg9AADoPQAAqL0gADgTQAlIfFABKo8CEAEagAIAAAS-AAAkvgAAND4AAC2_AAAwPQAAyD0AAJg9AABQPQAAQDwAAOg9AACAuwAAML0AAOg9AADIvQAAyD0AAOC8AABAPAAANz8AAKC8AADOPgAAUL0AAIi9AACIPQAAJL4AAHA9AACIvQAAgDsAADA9AADYPQAAFD4AAEC8AAAEPgAAML0AAHy-AAB8PgAAQDwAAAw-AAAcPgAARL4AAIY-AAAsPgAAbL4AALi9AAAQPQAAFL4AAPi9AAB_vwAAoDwAAOi9AADIPQAAoLwAANi9AABAvAAAcD0AAGQ-AACoPQAAoLwAANi9AABwvQAA4DwAAPg9AACIvQAAmD0AAJg9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=1-gOsb-0d4c","parent-reqid":"1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["12573071377253269027"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"6478997002530352941":{"videoId":"6478997002530352941","docid":"34-5-3-ZE35C6C21DE4AD2F4","description":"TYT MATH VDK Sales LINK: https://www.kitapisler.com/bilgi-sarm... Bilgi Sarmal 49 DAYS TYT MATH CAMP Program https://drive.google.com/file/d/1OxnH...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/399189/edc7ed0738839e9432d6a90a2e04eadf/564x318_1"},"target":"_self","position":"5","reqid":"1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DveASCC21dUQ","linkTemplate":"/video/preview/6478997002530352941?parent-reqid=1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL&text=The+Real+Numbers+-+Topic&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Real numbers - 7 topic explanation and question solutions tyt mathematics camp","related_orig_text":"The Real Numbers - Topic","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"The Real Numbers - Topic\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=veASCC21dUQ\",\"src\":\"serp\",\"rvb\":\"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_Av4A9AIEBggF_QELAO4B9f__APAB_wX1AQAA_AL4AwcAAAAFDvMLBQAAAO_27wj6AAAAAgzzAu8A_wAKBRL2-QAAAAIW8_f_AQAA7PL9DAT_AAAY-_z-AAAAAPUBA_v3AP8B7AP4DwAAAAD7CQcD_wAAACAALTCYyjs4E0AJSE5QAipzEAAaYBQCACH-A-v2_O750PPoHOPq8twGzfb__O0ADRjy6SNF5sLs-wAp4xf8wQAAABYFACISAOpK_Or7NhvjF9bl8vMFf88N5AcE7w_KEfPbEuAI_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-AACovQAAfD4AAHA9AAA7vwAA4DwAALg9AABAvAAADL4AAOg9AACWPgAAor4AAIi9AACqPgAA6D0AADQ-AAAVPwAAfz8AAEC8AAAcPgAAHD4AAAS-AAA8vgAAEL0AAHA9AAAUPgAAiL0AAPg9AACKvgAAFD4AADC9AADYPQAAmD0AADw-AAAsvgAArr4AAFy-AAAMvgAATD4AAOA8AABwvQAARL4AAFS-AAD4PQAADL4AAKA8AACGvgAA-D0AAMg9AACWPgAA4j4AAFy-AACgvAAAQT8AAPg9AACIPQAA4DwAAHy-AADIPQAAuD0AABC9IAA4E0AJSHxQASqPAhABGoACAAA0vgAAVL4AAJg9AAAtvwAAQDwAAOg9AAAkPgAADD4AAFA9AACIPQAAEL0AAIA7AABwPQAAoLwAAHA9AACAuwAAQDwAACs_AACYvQAA7j4AAOC8AACovQAAoDwAACS-AADgPAAAqL0AAIg9AACgPAAA-D0AAFQ-AABAvAAA-D0AALi9AACWvgAAVD4AAIA7AADIPQAAHD4AACy-AACuPgAAZD4AAJq-AACgPAAAcD0AALi9AACYvQAAf78AAIC7AAAcvgAAqD0AAOC8AAAQvQAAgDsAAEA8AACSPgAA2D0AABC9AADovQAAQDwAABA9AAAUPgAAuL0AAIC7AACIPSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=veASCC21dUQ","parent-reqid":"1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["6478997002530352941"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"461365985180358103":{"videoId":"461365985180358103","docid":"34-5-13-Z034F89BBA4688E73","description":"In this video we characterise the real numbers in terms of the axioms they obey. The real line is an ordered field which obeys the least upper bound property. As such it has an addition and...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1840077/f8684fbba232548c63a563c14cbcb82e/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/cETDOQEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"6","reqid":"1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Dg64RZmgzXmI","linkTemplate":"/video/preview/461365985180358103?parent-reqid=1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL&text=The+Real+Numbers+-+Topic&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"The Real Numbers","related_orig_text":"The Real Numbers - Topic","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"The Real Numbers - Topic\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=g64RZmgzXmI\",\"src\":\"serp\",\"rvb\":\"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_E4AdggQkAYAEKyqLARABGniB-vf8-f8BAOv8A_36AAEA8wjxBfj-_QDo-QMOBP8BAA8HEfsGAQAA-hAE_gYAAAD3-PcEAv8AAPkN-fsEAAAACfcE-f4AAAAFFQD6_gEAAO7z_QsE_wAAF_n-DQAAAAD8Av_uAAAAAAUGAxQAAAAABf_69gAAAAAgAC0rMtc7OBNACUhOUAIqhAIQABrwAWQF_P-7CvD9SPDWAO8x6gCB7Rz_MRLMAMIM0wG79fYADg_UAbz_-f8LBxT_19QFABT05_8D2yQAIPQE_yr7BQAdFQQALfgEAD7yGwDl9NgA-AP9__YKJAIc-PQC9vUF_iQYCf0C-_gGGQ_oAAn9EAX_GRQFGuHj_-oFAgAcHRz_BfX_BRTyDv4Q9fQH5tsiAvn10wT35wQC-woZChUT7wPl8BT_Ffrw_Cb99QYP6fD4CuUL--j69f8THR__-hTd_QvN__2_9Qv8AjwVATLtDvz58x30AwkJDgQC6w8pvgX06PkBCOYJ-fbpEv0DKhwFAiAALUFaJTs4E0AJSGFQAipzEAAaYAkJABbkGAAI1w7z5vDvFu3tBRII0QwAB_AAEhz5AyxO17X--AAjAQ0ExAAAAAIBER7mAOhK9vThQ_fu_N376gYJf-8fD-25-_Tu2coR9g76UQ8BIAD4_s7uLxDdKAAXESAALWLYVTs4E0AJSG9QAiqvBhAMGqAGAACQQQAAwMEAAKhBAACwwQAAUEEAAAAAAABAwQAAAMIAAIC_AACiQgAA8MEAACzCAACwwQAAkMIAANBBAAAowgAAYMEAADDCAAAAwQAAEMIAAABCAAAQwQAAREIAAARCAADwQQAAgL8AAMDAAACKwgAAXEIAAMBBAAAIwgAAkEEAAAjCAAA8wgAAmMIAAHBCAABAQgAAbEIAAI7CAAD4QQAAkEEAAADBAAAUQgAAlEIAAOhBAACAwAAAfMIAABhCAACOQgAAsEEAAMDBAACYQQAA4MEAAIC_AADIQQAAYEEAAMzCAABAwAAAgMEAAGxCAAAQQQAAyMEAAMDBAAC8wgAAgMEAAGjCAACAPwAANMIAABDCAACQwQAAKEIAABhCAACQwQAAIMEAAADAAACkwgAAAEAAALhBAADgQQAAwMEAABDCAAB4QgAAAMEAAMDAAAA4QgAAAMIAAEhCAAB4QgAA8EEAAKbCAACgwAAA-EEAAIjBAADGwgAAQMEAAJDBAAAwQQAAOEIAAOhBAAAQQQAAAEEAAEDAAACcQgAAkMIAANDBAABwQQAA-MEAAKhBAACAQQAAEEIAABRCAADQwQAA6MEAABjCAAD4QQAAoEAAAFBBAABkwgAAIMEAAEBAAACgwQAALMIAAEjCAABIwgAANEIAAEBAAACGwgAANMIAACDCAABYwgAAcMEAAGxCAACgQAAAQEAAAPjBAACYQQAAgEEAAKDAAACowQAAsMIAAIDAAABAwQAASEIAALjBAADAwAAAoMEAAKrCAADAQAAAmEEAAMjBAACAwAAAMMEAAEBBAADgwQAAoEAAABDBAABAwAAASMIAAFDCAADYQQAAPMIAAJjBAABQwgAAUMIAAAjCAACWQgAAcEIAAARCAACAQAAAgL8AAEBBAAAgQgAAPMIAAFDBAAAcwgAAkEEAAKDBAAAgwgAA5kIAAK5CAAAQwgAAwMAAAODAAAAwQgAAzEIAADDBAADQwQAAYEEAAEBAAACgwAAAQMEAAIDCAABAQgAAMMEAAGzCAAAUQgAAsMIAAFDBAABAwQAAHMIgADgTQAlIdVABKo8CEAAagAIAAHC9AABUvgAADD4AAEQ-AACovQAAFD4AAGw-AADmvgAABL4AAAQ-AAAcPgAAPL4AANg9AACGPgAA2D0AAJg9AACYPQAAUD0AAMg9AAB0PgAAfz8AACy-AABAPAAAPD4AAKa-AAD4vQAAUL0AAHA9AAB0PgAAcD0AAFw-AAAsvgAAVL4AADA9AAB8PgAAML0AAKA8AACovQAA4r4AABA9AADgPAAA-L0AAGQ-AABkvgAAmD0AABC9AABEPgAAFL4AAGQ-AACCvgAAEL0AABC9AACiPgAAUD0AAAy-AACoPQAAJz8AAAS-AADIPQAArj4AADA9AAC4PQAA-D0AADC9IAA4E0AJSHxQASqPAhABGoACAAC4vQAAfL4AAFC9AAA_vwAAUL0AADC9AAC4PQAAqL0AAOg9AAAwvQAAFL4AAOA8AAAQPQAAQLwAABQ-AABAvAAAUL0AADU_AAAcvgAA8j4AABy-AABMvgAAQLwAAKi9AABwvQAAUL0AABC9AABwvQAARD4AAIg9AACAOwAAyD0AAHA9AADovQAAhj4AACQ-AAAsPgAAiD0AABS-AABwPQAAND4AAIC7AACovQAAML0AAIK-AACYvQAAf78AABC9AAAEvgAALL4AALi9AACgvAAAmD0AAEQ-AACgvAAADD4AAIA7AACIvQAAUD0AAFA9AAAEPgAA-L0AAFC9AACIPSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=g64RZmgzXmI","parent-reqid":"1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":960,"cheight":720,"cratio":1.33333,"dups":["461365985180358103"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"16869968865770808810":{"videoId":"16869968865770808810","docid":"34-7-12-ZFD4DB096CC0C93B8","description":"Hello friends, This channel is regarding preparation of school and Board examination till class 12. You are not alone, I’m always here to help you. There’s nothing you can’t do if you really...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/919333/d3e6f67938e8535eed7a72b1a030025b/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/rlmdOgEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"7","reqid":"1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DE7ZJ4XlPgdg","linkTemplate":"/video/preview/16869968865770808810?parent-reqid=1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL&text=The+Real+Numbers+-+Topic&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Class 10 REAL Numbers (Chapter 1) Part 1 (Topic:-Number System)","related_orig_text":"The Real Numbers - Topic","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"The Real Numbers - Topic\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=E7ZJ4XlPgdg\",\"src\":\"serp\",\"rvb\":\"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_Af_7BgDxAvz_-gIAAQD89_34_v0A7QL8BAAAAAD7C_wG-gEAAPYJ_PoEAAAA9vMBBQL_AAAAAP_7AwAAAAoAB_z9AAAAAhP1-P8BAADt9ff_AgAAAA8F-Q7_AAAA9wIG9v__AAD5AAERAAAAAAD6_PkAAAAAIAAtxJ_jOzgTQAlITlACKoQCEAAa8AF_AO8Cjfji-kPx2QAuIuYAmRXxADUa5gDG7fQA5eXwASQNAgDV3gAABhMEAAP4EAADFfT__-kGAA7mFP8bFxL_1QQTAEPmDAE0KAH_FBDw_8gW__8H_jIAD-H5AAcJ2P77_RAAJxXw_wAF5QMZ7BMCFwAF_x0MA__vIv8A8Q8BBP7jy_8HBw4H5OX7_MkcFQP69tYE8h3qBOb2Af_w0QsC8vzp9xP68fwa5OUA8vQEBAIeB_0M8_38AgcXAgP97_wKBv37EwkGAQEW_PwBCxsDE_YNBNLrAAEFDvn2CvMA8OUTAAID1P_8ASX-8wwS9vMgAC19nDA7OBNACUhhUAIqcxAAGmAw_QAW6hnx8fYa7O3ICE4i5fjXF-P7_-8AACcwAtwdWt6BK8z_EtXw86YAAAD69gYGDQDOb-z4CFjLIOTNxA_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_AADgwQAAYEEAAAjCAADAwAAAAEAAAIJCAABQwQAAiEEAAAxCAACYwQAAyEEAABhCAADYwQAAoMAAAI7CAADowgAAYMEAAFBBAAAcQgAAQMAAALDBAABgQQAAuEEAAFTCAAB0wgAA-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-AAAUPgAA2D0AAJg9AADgPAAADb8AALg9AACIPQAAiL0AAFy-AABMPgAAhj4AALi9AABwPQAAED0AAFA9AADgPAAA0j4AAH8_AAA8PgAAyL0AADQ-AAAkPgAAjr4AAMI-AADYvQAAFD4AAFQ-AADIPQAAML0AALi9AAD4PQAAkj4AAEA8AAA8PgAADL4AAKq-AACYvQAAXL4AANi9AACePgAAML0AAAw-AACIPQAAFD4AAIg9AAA8PgAALL4AABQ-AABQPQAA6D0AAAw-AADYvQAA4LwAADc_AABUvgAAqD0AAPg9AABAvAAAtj4AABw-AACKviAAOBNACUh8UAEqjwIQARqAAgAARL4AAGS-AACAuwAAUb8AAPg9AAAEvgAAUL0AACS-AACAOwAAED0AAJi9AADoPQAAiL0AADy-AADYPQAAEL0AACy-AABRPwAAuD0AAPY-AABUvgAAFL4AALi9AACYvQAAEL0AAEy-AAAcPgAAQLwAAPg9AACoPQAAgDsAAAw-AABQPQAAiL0AAHQ-AADgvAAAUD0AAIA7AACSvgAAVD4AABA9AADYvQAAdL4AADA9AACGvgAANL4AAH-_AABsvgAAQLwAAMi9AAAMvgAAJL4AAAy-AABAPAAAHD4AAKg9AACgPAAA6D0AAKC8AADIPQAA2D0AAOC8AAAwvQAAcL0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=E7ZJ4XlPgdg","parent-reqid":"1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["16869968865770808810"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"7576687846820919495":{"videoId":"7576687846820919495","docid":"34-6-3-ZBF003B07A736C439","description":"#BVST, #mathsucks, #mathskill, #mathstudent, #mathsteacher, #mathsmemes, #mathsisfun, #mathsclass, #mathstutor, #mathsmock, #mathsjoke, #mathsnote, #mathstations, #mathstricks, #mathsbeauty...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3273645/1a7d4560c450d0501d08c6f5815464a0/564x318_1"},"target":"_self","position":"8","reqid":"1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DSmKlZni3Wu0","linkTemplate":"/video/preview/7576687846820919495?parent-reqid=1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL&text=The+Real+Numbers+-+Topic&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Chapter 1 : Real Numbers, Topic : Exercise 1.3, #Class10, #Ncert, #Math","related_orig_text":"The Real Numbers - Topic","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"The Real Numbers - Topic\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=SmKlZni3Wu0\",\"src\":\"serp\",\"rvb\":\"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_foCAQER9vP29QAAAOT5-wv4_QEAEP4CBPgAAADzBfD7CgAAAO_27gj6AAAAEgQC9AUAAAAU_QD4_wAAAAYWAPr-AQAA8-YECQT_AAAZ-_z-AAAAABkH_P_-__8A_AMOEAAAAAAF_Pj-AAAAACAALUEexjs4E0AJSE5QAipzEAAaYOQIAEI6DgvHBdbjz7IJN9eqGLse3hz_2_3_MQ8NpPYI5IMVCP8eyBQImwAAABb88_QrANd_z8QNXvfo47XiIuohZ-wbx-S-xgKuBery-BwV7eMIMQCZ-e4AFN_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-QgAAwMEAALDBAACgwAAAAEAAANjBAADgQQAAeEIAAOhBAABAQQAAqEEAADzCAACgwAAAQEIAAKDBAABcQgAAQMEAALBBAACAPwAAlkIAAGRCAABMwgAABMIAAAhCAAAQwQAA8EEAAObCAACYwgAABEIAALDBAADoQQAAKMIAAODAAAD4QQAAqMEAABBBAABQQQAAEEEAAKBBAACAwAAAHMIgADgTQAlIdVABKo8CEAAagAIAABA9AACovQAAgj4AADw-AACIvQAARD4AAOg9AAAbvwAAqL0AAEw-AAD4vQAAor4AACQ-AAAMPgAAUD0AAEA8AACAOwAAiD0AAFw-AADWPgAAfz8AAOg9AABAPAAALD4AAOg9AACGvgAAdD4AABA9AADoPQAA-D0AABA9AACovQAAiL0AAAw-AADoPQAAiD0AAEA8AAAUvgAArr4AADS-AACWvgAAED0AAJI-AAAUvgAA-L0AAFS-AACIPQAAoDwAAEA8AABUvgAAFD4AAOg9AACCPgAABD4AAIq-AABQvQAAST8AAGS-AAAsPgAAML0AAAQ-AABcPgAARD4AABS-IAA4E0AJSHxQASqPAhABGoACAAAMvgAAiL0AAKC8AAAxvwAAQDwAABA9AABsPgAAqL0AAKC8AAAEPgAAUD0AABC9AACAuwAAqL0AALg9AAAQvQAAmL0AADc_AAA0vgAAyj4AAFy-AAA0vgAAgLsAADS-AABAvAAA-L0AAHC9AACAOwAALD4AAEC8AACAuwAA2D0AAPi9AAA0vgAAfD4AAIC7AACIPQAABD4AAAy-AAAwPQAAXD4AAAy-AAAkvgAAML0AAJ6-AACAuwAAf78AAKi9AACgPAAA4LwAAJg9AACIvQAAML0AAKg9AAAkPgAAUD0AAEC8AADgvAAAoLwAAHA9AABwPQAA6L0AADA9AAAQPSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=SmKlZni3Wu0","parent-reqid":"1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":null,"cheight":null,"cratio":null,"dups":["7576687846820919495"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"12490249129113027370":{"videoId":"12490249129113027370","docid":"34-11-4-ZBA604F352FFCC201","description":"Chapter 1 : Real Numbers, Topic : Decimal Expansions of Real Number, #Class10, #Ncert, #math Terminating Decimal Non Terminating Repeating Decimal Non Terminating Non Repeating Decimal...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3285975/d764a229a0910ee1cabd04bcb31e775c/564x318_1"},"target":"_self","position":"9","reqid":"1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DKms_1CG2DiQ","linkTemplate":"/video/preview/12490249129113027370?parent-reqid=1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL&text=The+Real+Numbers+-+Topic&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Chapter 1 : Real Numbers, Topic : Decimal Expansions of Real Number, #Class10, #Ncert, #Math","related_orig_text":"The Real Numbers - Topic","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"The Real Numbers - Topic\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=Kms_1CG2DiQ\",\"src\":\"serp\",\"rvb\":\"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-voB_wP_AQH89vz4_f0A5_kDDwT-AQAQCAsB-wAAAPsF9Pz_AAAA8PfvCPoAAAAGBvz6-wAAABcG_fD7AAAABRUA-v4BAADw-_wDAwAAAA4JAQUAAAAAAAgC9gMAAADyBwkOAAAAAAL_8fsA_wAAIAAtrT7ROzgTQAlITlACKnMQABpg8PkANxIADMH4-9nDyv8P7K8JyjrBCf_32f8dIwe6GAzbhw0P_zraJvefAAAAFQ4aFjYA8ne8_89zBOAOx_n_FA9_LBwB793X9s_ntNj-Ew_06PUqAOL95-w4-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-D0AADu_AACovQAAXD4AAIg9AACKvgAA2D0AAII-AACIvQAAED0AAKg9AABAPAAARD4AAMo-AAB_PwAABD4AAIg9AAAkPgAAQLwAAHS-AADYPQAAUD0AABA9AABAvAAAyD0AAFy-AAA8vgAAgDsAAEQ-AAD4vQAAyD0AAHC9AACevgAATL4AAIK-AABAvAAAVD4AAIi9AACovQAAhr4AABQ-AABMvgAAED0AAMq-AAD4PQAAQLwAAJI-AABEPgAAgr4AAHC9AAA_PwAAQDwAAJg9AACgPAAAqD0AAJ4-AADoPQAAVL4gADgTQAlIfFABKo8CEAEagAIAAFS-AABAPAAAMD0AADu_AADYvQAAuL0AAFw-AAAcvgAAED0AABw-AABwPQAAQDwAABC9AAC4vQAA2D0AAFC9AAC4vQAALT8AADC9AADmPgAA2L0AAEy-AACovQAABL4AAIi9AAAEvgAAmL0AADA9AAC4PQAA4DwAAIC7AAD4PQAAcL0AAPi9AACWPgAAcD0AACw-AAA0PgAAPL4AALg9AAAEPgAAyL0AACy-AACAOwAAHL4AABC9AAB_vwAAML0AAFC9AACovQAAyD0AAOC8AABQPQAABD4AAOA8AAC4PQAA4LwAADC9AACgPAAAQDwAAMg9AAAQvQAAiD0AAMg9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=Kms_1CG2DiQ","parent-reqid":"1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":null,"cheight":null,"cratio":null,"dups":["12490249129113027370"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"17589800317966250982":{"videoId":"17589800317966250982","docid":"34-0-6-Z7A4B04548AF12E40","description":"http://www.algebratesthelper.com what are the real numbers...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3991551/b639b47e7d1e1d9fa59df68dcc32e410/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/HdVTNgAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"10","reqid":"1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Did2rTw-5VL0","linkTemplate":"/video/preview/17589800317966250982?parent-reqid=1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL&text=The+Real+Numbers+-+Topic&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"What Are The Real Numbers?","related_orig_text":"The Real Numbers - Topic","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"The Real Numbers - Topic\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=id2rTw-5VL0\",\"src\":\"serp\",\"rvb\":\"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_PsC_gDuAwz6-wEBAe8E-wn5_v4A5vkDDwX-AQAQBxL7BgEAAPoRBP4HAAAA6_T6CAABAAD9GO7-AwAAAAP0DvP-AAAAAwsC-v4BAAD2-QYPBP8AABkA8Qf_AAAA_AP_7QAAAAD-CAMMAAAAAAb_-vUAAAAAIAAtjk7LOzgTQAlITlACKoQCEAAa8AF_ERP-wQndAO0G1QDrGucAhAos_zU93_-qFBUByv_rAewZ3QD0Bd3_0CYc_pssIgFK9uAADuTrAS788P8A6xUAyP7xAEvd7wFI3gj_99j__soiHf7h7_0BI__eAff_AQEOEyP__g3sAQvqtwkm-y8BIP4gBiMFDwkA0gkF7PYPBtjQ4_70ACAB4PcK_8X-IAEg2vUK9hz1-NlG7wD56fcA2tMF-h7_x_tKDeP-ARgB8foJ7v4zEfgH8u0dAQwXFAvdEw8BBgvtBwIb-_wH3_j86-vqChTe-QoN2_gG7AT--t7s-fb88RLr9CL2FgoD7fkgAC0dRhA7OBNACUhhUAIqzwcQABrAB9eF575EvDq9CqGkOxipoDt3_LI8w4keO0leJ73jVVY9pr_NvB5P6z3an4W9czO3vDhpir7RDD087a59PC0LVj6wily9QS0mvRmBor1Atbs94aRfvfNZDr44bzc9dvssu99uyTw3Rjw9mZI2vQqdFz6TmxW8EYqtvCtXw72dbF69-pQIvRgcKr2-Toq9Bg4LvHjACjwEtwS9xkqxPARrwT0QmEG7YR4tvY832T2Lu2Y8e2RWO9sZFr6vfQE8wsc7vYTY2T3U9Z88d503Ou7QML1Yeoi8iyrPu7J9TT3EZ0E9HFODO89rZ70YfDU9Og5yvM5hiDz5BYW8l2NDPF2Rs72MQhg8PjWHu7aAULy4W9I9m-4MvMZhqr2rW5097tSaO-wZHT2SkfM9vfkyvJfmJj4l_Dc90ssDO5_1vrsSQQY9T8k5PNVfij1rMIg9b-KaPMeLOz3gle48tIC_vBO8rD1wJNA9-vdPvHrBjDwDSAg8_ATMu6QsjT2dHBW8eWyRO9UpSj26swC9TFqnvI_gFj5beA6-A-cOvMFrfD1St_O9axWIOXR-yjxqJHM9hcSouxIiLz3k_j69OnmRu-9RpLxu-N28OMSROjUpZT2hgbi9alAPO5h8fb0exmQ93VACvPx_Jr0ASm09kpbnu8SSdjvfb6Q9XEDDOlrFcT3vJQi9RfO-OzGCvjv4XvI8PEsVOmjMFD41PIO7cSgauihxBz0GVM06nzFdu841Cju_jY69tkHUut1rF71KqgC9Hkw9uZRAtD3gzWS94odqOSaNcb0uklY9edD2uakomL398QM9y0V9OE3HUrwE7H68MoakOnUulrzl0Q29i5iLudhi1z3YPg28LIi-uFtr_zuDwMq8tSkqOadHybybE8W9AwKzOMmUajwp-Dc8XLwAuGJV0rs0dhO9FJIfuB4YAL0l7qy9TRTnN2NKv7yaOrS9_uV1Oad_RD280r09Jyr7No2u97zAycu9oaWBOe1EST1b7PY843xnOMJ9nj0jExA9YcxwN3Jv3j0vWLA9rfGoONPPCDxmMdG9PkuXNuFqcz1nPUE9ZfbpuM1wybqIUUs9_-saOZwerzwppfG8TE_qt_2GCT0myOe7Lu-kt9rYdr0aWUg9uKw0OK2n9j2z6pi8ezs6uQu5zjqSvKm8NQ9kt6u3kb218ly8ijVUuJvSj7vi5I49YN5HN9mE6rwiV7W90kIwuCL_7D01KQU-835buOIYrjxvpaI9TCdSuOEti72bf8s65gAKOHLsv73Iq3g9F9mNOCAAOBNACUhtUAEqcxAAGmAeAQBE5TEEMdn6_vDU-CMA6PPpJcnm_yUF_xkgFQL2O7Wm-O__MONB4aQAAADx3QszmwD_d_Xz9FC9CvnHy9AeFH8CLCLWow4C0MIELwTsBUb9LUkA_zykDUMH9Vca8xkgAC25BRY7OBNACUhvUAIqrwYQDBqgBgAA4EAAAGRCAACKQgAAjMIAAJjBAAA0QgAAmEIAACxCAABIwgAAsMEAABhCAAD4wQAAWMIAAJhBAACAvwAADEIAAFBBAABcwgAAMEEAAMDAAACgQQAAoMEAANjBAAAgQgAAcMEAALDBAACGwgAAAMEAAKBAAABMwgAAlMIAABBBAAC0wgAA-EEAACzCAABcQgAAFMIAAJRCAACAwQAA4MAAAAAAAABkQgAAJEIAAEDBAADAQAAAZMIAAPhBAACgwAAAREIAAPBBAAAUwgAAwMAAAIBBAACAQAAAlkIAAOhBAAC2wgAAsMEAAIJCAABYQgAADEIAAIbCAADwwQAAfMIAADBCAADQwQAAsMEAABBBAABgwgAA4MEAAKpCAADYQgAAEMEAAFBCAAAUwgAAgL8AAEDCAAAkwgAA2EEAAAxCAACAvwAAuEEAAOjBAAAIQgAAfMIAAJhCAAAUQgAA4EAAABBBAABowgAAQEAAAFhCAABswgAAVMIAAJBBAABswgAAwEAAACDBAACQQQAAHEIAAFjCAAAIQgAALEIAAKhBAAA8wgAAQMEAAMDBAADQQQAAYMEAACRCAACYQQAAoMAAAODBAADAwAAAcMEAAKhCAABgQQAALMIAALhBAACIwQAAAMEAANDBAADAwAAATMIAAIA_AACwwQAAoMAAAPDBAAAkwgAAEMEAAMBAAAB0wgAAUEEAAIBAAAAEwgAAKEIAAIBAAADYQQAAiEEAAADCAADoQQAACEIAAKDAAADQwQAAbEIAANhBAABgwQAAMEIAANhBAADIQQAAIMIAAHBBAACEQgAA2MEAABxCAABowgAAdMIAAIbCAAC4wQAAPEIAAMjBAABEQgAABEIAACjCAADAQAAAYMEAAADAAACQQgAAgMEAANDBAACEwgAATEIAACTCAAAEwgAAbMIAAIBBAADQQQAAXMIAAExCAAAAQgAAusIAAEDCAACgwQAAoMAAAExCAABcwgAAiMIAAKjBAADgwAAAMMEAAEBBAACYwQAAIEEAANBBAAAAQQAAOEIAAEDBAACAQAAA6EEAABjCIAA4E0AJSHVQASqPAhAAGoACAABwPQAAuL0AAEQ-AACSPgAAML0AAOA8AADoPQAAyr4AAHC9AAAMPgAA4LwAAEy-AACIPQAAhj4AAFC9AAAMPgAAHD4AABA9AABQPQAAhj4AAH8_AAAMvgAAcL0AAFQ-AAAkvgAAuL0AAIA7AADgvAAAZD4AAHA9AACYPQAAyL0AAMi9AACAuwAATD4AAEC8AACIPQAA-L0AAJa-AACAOwAAmL0AAAy-AAAkPgAAuL0AABS-AAAsvgAADD4AAMi9AAAsPgAAML0AAIg9AACIvQAAZD4AAAw-AAAUvgAAUD0AAPo-AABMvgAA4DwAAFw-AAAcvgAA-D0AAFQ-AACAOyAAOBNACUh8UAEqjwIQARqAAgAABL4AAFy-AAAQvQAALb8AAKA8AADYvQAAUD0AAFC9AAAwPQAAcL0AADC9AAAQPQAAgLsAAEC8AAAsPgAA4LwAAHC9AAAtPwAA-L0AANI-AAAUvgAAFL4AAJi9AADYvQAAQDwAANi9AADgPAAAEL0AAGw-AACIPQAAML0AACQ-AACgvAAAoLwAAFQ-AACYPQAAHD4AAIg9AAD4vQAA4DwAADw-AAAcvgAANL4AAOA8AAB0vgAAyL0AAH-_AACYvQAAML0AAIi9AADIvQAAoLwAAHC9AAD4PQAA4LwAAOg9AACAOwAAgLsAALg9AAAMPgAA6D0AADy-AACovQAAED0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=id2rTw-5VL0","parent-reqid":"1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":960,"cheight":720,"cratio":1.33333,"dups":["17589800317966250982"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"2153916640"},"17071269543983359173":{"videoId":"17071269543983359173","docid":"34-5-3-ZA34B0B633A3DFD93","description":"Real Numbers made Really Easy! https://bit.ly/3iFV7dl ICSE Class 8 Courses: https://bit.ly/3boM5OB Igcse Courses: https://bit.ly/2YNwQcn Artificial Intelligence...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3442722/452771c2c29758c550924856df4dd619/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/x8BNSAIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"12","reqid":"1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DMDRId11k6gM","linkTemplate":"/video/preview/17071269543983359173?parent-reqid=1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL&text=The+Real+Numbers+-+Topic&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"What are Real Numbers?","related_orig_text":"The Real Numbers - Topic","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"The Real Numbers - Topic\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=MDRId11k6gM\",\"src\":\"serp\",\"rvb\":\"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_PsC_gDuDQj2_AABAO8E-wn5_v4A5vkDDwX-AQADBBD9_gEAAPoRBP4HAAAA6_T6CAABAAD9GO7-AwAAAAP0DvP-AAAAAwsC-v4BAAD2-QYPBP8AACYB_AT_AAAA_AP_7QAAAAD-CAMMAAAAAAb_-vUAAAAAIAAtjk7LOzgTQAlITlACKoQCEAAa8AF_CSABzPzm_8Dlx__LIfgAjAop_xEV0wCw_gAAu_fJAO4G6gDA7-j_JO0F_9APJgAbAcYABNgnACjYDf9EDugA0A0sAEzjDQFU_PsBIADm_uH9E__UEAX_KOLZAhoN5v4K-h8BAgb3_v341f377S0BEOITAyXuAAHs4_UB_i_4-_zn3_35APIED_H2-sLcJQL96_j__Afu_-_3AQMl5-wC5QAOAQgs1_4I-u8A8Qb8-tTvDPr18vQG5fgeAQsP7P7wEgkH2uHo-wgMCP8G4fj8-BH3ARr19Qwa5AAC5vT79tcTDwXxDAsA0xYLEPUD9gAgAC3s5hk7OBNACUhhUAIqzwcQABrAByOiwL5uFk89YnSvvKAUcr3bugA98-7-vGPtP77onwW8ncMtO5_Woz0h8PY8RfacvDhpir7RDD087a59PP29dD6SVEu9A7HsPGLZLL5yAqo7w2QKvbeyJL4pFcM8RNBivMBfTD7ypeY817QAuekL4T2tHou8I9QxPNJoNz1AbEm9_3XTvF2psr3BnCq9PR5EvOdazzzL9Au9kfUvPRhaHT5qB3G7tIUQPINJdr2Tpbk72fCPPDeIBr6_sGM7AEKavB3owT2G_H656kmPPLet0rx2jOu8lF5lPPN95zzZQPw6iaDFvLXi272W4_y6M6X1vG9Tcj3--EY9XZIZPWUXXL54p4w8KAS8u8IQnrxYPDU9DViNPAfkd731vJs8UCqrvBFoejyErF09yRPSu30TmT0PcBS7Sj-jO_EB57lpSrw82soHvODsAL3gWIY8nTnaPNGkXrxmrCw9915Xu7fOlL03KaY9uBoAPNP6K75nPze9E00TOjaBGL1Y51a7lmowu_EplT3BxQo9RdA9vHAK6zxF77m99kflucHSD70o0wi9NZ9OvInT6T1on609XwyAOK2Ym7zCecK8VhGJvFrjYr03w-29DEsRvKR9vT1zyYe9L8gvO4ICz70m1863VGAWPGjI3TwMNrs7QckuvD2b1T2ONN08Ut6BO3hN_ryABfq8tMcPuzHeRb2MkZs92OgDOzw-kDx6Z768TUxQutWVDz7U7Ea95UcZuYAb2Dxob7W9dDtGuYOpgztvQ7E86qIxOtU3dT0rFo-97rDLOQDy1LyGgR097SeduHHgOr0uuks9chbHNzmvFr2gfAs75I26t1Qb_L1iu_u9E9PyOQOLwTnBmCM9IcvTuOKu3r2T8Zm9ySdqOdNS1Lx6Qbq8J34UuvEC9ryhoY89bQjKthDJcD00gNc9H9Ijt-NMODw_FzI84v4BulO1-LzAFJS9BOPWODrW2js5D2c91DnfNyu0f7s_hvM8dBePuI72aT15CI49il2eOGWE3Lysl5U9ei8JN1vIDLyLr4E9N246ua_YGTzz2pa9SVoft8jrAT5W0YQ88F6DuM1wybqIUUs9_-saOfzxrDu1ChG8o3aauKZchj3Dm_U8OcGkt6ppor0kb-87FkajOKOxFj6mVZ49RyMkuanbOb3mf0k7wVHwN1cgHz19fYg8ao2NttAlAb3QRLs75TDQt7MxBrsIr729HH2mt4qWVz0QWPk9jRdAOPCyNb1czM89DEYKuTc1jjqCgVE9lSxGN84rqLz6qQc6PVXjNyAAOBNACUhtUAEqcxAAGmARAwA16DIN_9zx7uvy8iby3v7fFM7t__4AAB4jCvkVRMm4_PMAHwcpALcAAAAL9Q8D1AD_XBH-9z7SCgHMydv7An_tFx_rvBMA3-_dG_T782EJLioA1Be7AyIfyksW9SQgAC3lDTg7OBNACUhvUAIqrwYQDBqgBgAAAEAAAJBBAAA0QgAA8MEAAFxCAAAcwgAA2EEAAEDCAACEwgAAUEEAAABCAACAwAAArsIAAITCAADIQQAAMMIAAEDBAACgwAAAAMAAAIjCAABwwQAAQMIAAKDAAACGQgAA-EEAAAhCAADwwQAAUMIAAGBCAAAkQgAAEMEAANhBAAC4wQAANEIAAMTCAABAwQAAgEEAAMJCAAAQwQAAwEEAAEBBAACgwQAAjEIAACDBAAAUQgAAgMAAAIA_AABgQQAAjEIAADzCAAAgQQAAAMIAALjBAACQQQAAsEEAADDCAAA0wgAAjEIAAAjCAADAQQAAYEIAAGBBAAB0wgAAXMIAAGBBAADgQAAATEIAANDBAACQwQAA0EEAAIBBAABkQgAA4MEAALBCAACgwAAAaMIAAODAAADIwQAAwEAAACTCAABAwAAAwMAAAFBBAABgwQAAWEIAAAxCAAC4wQAAwEAAAABCAABQwQAAUMEAAAhCAAAgwQAAyMEAAODAAACOwgAAEMEAAFBBAACcQgAANMIAAFDBAACKQgAAAEEAAHDCAACgwgAAkEIAAMjBAADIQQAAAAAAAJhBAACEQgAAJEIAAOBBAABAwgAA5kIAADBCAACgwAAALMIAAGBBAACgwQAAQMAAABTCAADAQAAAmMIAAAxCAAA0QgAA6EEAAGjCAACIwQAALMIAAIA_AACgQAAA4EEAALpCAABkQgAAiMIAAFDBAACIQQAASMIAAJzCAABIQgAAgMEAAEDAAABAQQAAIEIAAPBBAACIwQAAAAAAAKBAAABwwQAAgEIAAMhBAAAMwgAArMIAADRCAAAAAAAAmEEAAFzCAACQwQAAnkIAAGDCAAAAAAAAwMAAAIDBAABgwQAAyMEAAJBBAACoQQAAYEIAAKhBAAAowgAAmEEAAADBAACgQQAAoEAAAPhBAAAgQgAAoMAAAHRCAACWQgAAMMEAAHDBAADwwQAAEMIAABxCAAB4wgAADMIAAJJCAAAAwgAAgL8AAAzCAACAvwAAEEEAAFBBAAAowgAAFMIAAODBAAAYQgAAIMIAACjCIAA4E0AJSHVQASqPAhAAGoACAAA0vgAAFL4AAAQ-AAB8PgAAiL0AABQ-AACuPgAAH78AACS-AACgPAAAgLsAAJq-AAD4PQAACz8AAEA8AACAOwAAmD0AAKA8AABQPQAA0j4AAH8_AACCvgAAED0AANg9AAAUvgAALL4AAIg9AABwPQAAVD4AAFA9AACGPgAAHL4AADS-AACIvQAApj4AAPi9AAA8PgAAqL0AANa-AAA0PgAAUD0AALi9AAC2PgAA6L0AABC9AAAQvQAALD4AAIK-AABsPgAARL4AAMi9AAAMvgAAgj4AALg9AABAvAAAFD4AACs_AAAMvgAAqD0AANI-AAAsvgAAVD4AAEQ-AACIPSAAOBNACUh8UAEqjwIQARqAAgAAJL4AAIK-AABUvgAAMb8AADA9AACovQAARD4AABy-AADYPQAAiL0AADC9AADYPQAAcD0AAHC9AABMPgAAgDsAAPi9AAApPwAANL4AAAU_AAAkvgAAmL0AAKi9AAAQvQAAQLwAAPi9AACgvAAAgLsAAOg9AAAQvQAAoDwAAAw-AABAvAAAEL0AAJI-AACAuwAAgj4AAIC7AABcvgAAqD0AABQ-AADYvQAAVL4AAFA9AABUvgAAPL4AAH-_AAAUvgAAyL0AACy-AADYvQAAED0AAAy-AAAcPgAAED0AADw-AABQvQAAiL0AABw-AAAUPgAA2D0AADC9AADgvAAAoLwgADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=MDRId11k6gM","parent-reqid":"1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["17071269543983359173"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"3162864474"},"996784584839803033":{"videoId":"996784584839803033","docid":"34-5-7-ZB740E66D91982DF5","description":"Join us as we visually explore the real number universe in the context of its subsets and the number line. For more MashUp Math content, visit http://www.mashupmath.com and join our free mailing...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4011709/ee0b8f1ad3c384f7678c4675c7d0cfcb/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/CdUcCQEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"13","reqid":"1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DtC7NkH5xwBM","linkTemplate":"/video/preview/996784584839803033?parent-reqid=1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL&text=The+Real+Numbers+-+Topic&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"What is a real number and what are the subsets of real numbers? | Common Core Algebra","related_orig_text":"The Real Numbers - Topic","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"The Real Numbers - Topic\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=tC7NkH5xwBM\",\"src\":\"serp\",\"rvb\":\"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_E7ABggQkAYAEKyqLARABGniB-vf8-f8BAPMEBQH5A_8B-AAFCfr9_QDt_QEECQAAAPQKCgUJAAAA-gv7AwIAAADu6vkG_AEAAPkG7wACAAAA__sA-vsAAAAEBP70_gEAAPf5BQ4E_wAAFgX-BgAAAAD8Av_uAAAAAAIRAQgAAAAAAQQG_v8AAAAgAC0rMtc7OBNACUhOUAIqhAIQABrwAXoDFAO4DAT8QADu_7vy2QCBFfD_Qhb1Ad83Ef_v_uEA-Ar8AL7ZDQACCvoA-_0h_xUE3f8rDAYBDAYeABcs-v8ACwsACdfWABsn-gDn6PD__gkd_gfh_P_35-oB2v_2_x4oCv8S9ucAEggAAQoFCf4U7gsA4vv8BRb3Cf_5B_b--gYM_A_u_AcN9Pj77xIvARoT6QMlBRD9_wX1__z36f366_D5E_rx_NXa-wAF_Pz-AAEE_QoKCvcQ5PEJ5hUfAQEKJ_wF_xD46egI-fHrBAjs9hQFGdv-_wrj-gXmwxDzLAoBAvgQA-zpChb-_RQHByAALVH0NTs4E0AJSGFQAirPBxAAGsAH8S3kvjPFNz31Rxy8yrufvVpGij18hku8XyV_vRSvMjwZopK7E54wvomYkrxGOHe8mx2hvkahm7zIZ6g8UTAzPvqAmzuR50Q9ehcvvgg8MD0pn9S8bTvtvX24P7wa8hU8wTo-PomuED3lK0G9ch-UPZgHij30cek7Rz6avQMa9Du05BQ8whbbvcqRaT066qY75pTgPebct7y20J88GFodPmoHcbu0hRA8A3wWu8JVPLqtoRk9qUs2vtRWtrzV5I48kDISPoWUZL2afLM8a9BcPUDYzrsW5Qg9D0LEump-4zpcilC8ZEBRvDcXfzxnPow8lX8tPi5m1Tw__Yw8_2eDPOz9sT1b2K68toBQvLhb0j2b7gy820wKPfwi_DyM07U8TV7su1s2ZD3Tgxk6N2zbPX7gD73pL8-8QoiFvW0-CT1zJme5brYjvflYcD0JEsA8YtxoPeGymj3K3D47dHKgvaYHqryEr3k8wcWOOykhmDw7m4Q8ESqyPRogKDt6UBK7Po2gPOYJgDt-9Je7L058PB8kNb0FyMw7D93iPHV0HL4YYvq5ReX0O6hmoDxZw4U8we4KPR7cgjygGm07MwPwvCncAb2WUIu8OVkPvcGpz72ngww8difJvRocwLyQGos7T7e3PVs6m72CN5-5efNKPVwtBTyzmi48crS5vZRTNj0N-R-6eWKhPVW1rj23SBg749GMPS4xYLzbCaM7P4GBvAAQYb1elCg73MXKPZRQqr2mxIW6tjGRvYxD4jxJW4u3keeEPOb06zwzNJ45HHoLPeLGEjxNLyi67NMbvdk7SDzWwuw24-LovBVYi716S7I3zZF1vTVFYL0cMi45bPOVvSZf_7yxwES4AxGdvdCoiryXiJk5su2JvTTaqjwDi5a46MDSPTPg7DwTCVq4-fPCPftc7b0GuYM4IsudPFpSpLwctQA5JjfMOpH-qLyJCN45yC9yPJeonj2EkAe4uUq9uyNqIj3ncrk4HVsqvYcLyrx3_Bg5M30aOjuJaL2RuqS4kz9zPUO4uDo0EAe4ixaAPUQqwb19KiM4C7UmPJV_LTxgmSo4ZVPOvcLoqDz-Mug35_KAPdWIKj2kgWA4HF7wPX0E_jz055C4ly0DvS9q97xaKdw3HVtvPQYprT2MSJ64jHEUvdt7Qr3F_Ge4berZO7ANS7w9lkY3vEEvvSWiCT3Nv2Y4VS9fvRvGg71Veym3qw_KPaX-lT3BlJo3xZLyPSzFhDxPQSs3GdYePB1V0Tqhn_S35cEsPRSljrxsGQq3IAA4E0AJSG1QASpzEAAaYDYWAEv3K_IYsy_L-_LVJzX97uYTv9j_BPb_BSANASRJl5neFf8xFiQNnwAAACXnHBrSAAx_7uvVaeDpAMS9pQnQe-EZD8nOFh_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-EEAAMBAAAAgQQAAqMEAAGTCAACgwQAAPEIAAKDBAAB8wgAAwEEAAPjBAABwwgAAsEEAAABCAACIwQAAQMIAAFBBAAAMQgAA4MAAAFTCAABQQQAA6MEAAMBAAACAwAAAUEIAAIRCAADgwQAAfMIAAOBAAABAQQAAlMIAADzCAAAowgAAUEEAAEDCAACIwQAAEEEAABDCAACAwgAAEEIAAADBAABgwQAAEEIAAIjBAADoQQAAcEEAAABCAAAQwgAAwkIAAEDBAADgQQAABMIAAADAAACIwQAAyMEAAABBAAAwQgAAEMIAAIA_AAAQwQAAgEAAABRCAADQQQAASEIAAOjBAABAwAAA8EEAAPjBAADgwQAAQMAAAGBCAADQwQAAFMIAAPjBAACSQgAAwMAAAODAAAA0wgAAwMEAAChCAAAoQgAAoEIAAJBCAAAAQAAAHEIAADRCAACAQgAAgEAAAIhBAACAQgAAQMAAADjCAABkwgAAUEIAAORCAAAowgAAIMIAAIDBAAB4QgAAhEIAABTCAABgwQAAqkIAAGBBAADQwQAA4EEAACTCAACYQQAAYMEAAARCAAB0QgAAkMEAAODBAAB0wgAAqMEgADgTQAlIdVABKo8CEAAagAIAAES-AAAMvgAA2D0AAGQ-AAAwPQAAEL0AAGQ-AAABvwAAfL4AAIg9AAAkvgAAwr4AAEQ-AAB0PgAAuL0AALg9AADoPQAAiD0AAFQ-AADmPgAAfz8AACS-AADYPQAAQLwAAHy-AABMvgAAyD0AAOA8AADIPQAAyD0AAHQ-AAAEvgAAgr4AADC9AAA8PgAAcD0AAFA9AACIvQAAmr4AADA9AABwvQAAqL0AAEQ-AAAMvgAAyL0AAIg9AABcPgAAor4AACw-AABsvgAADL4AAMi9AADGPgAAHD4AALi9AABAvAAAGT8AAKi9AAAwvQAA6D0AAMa-AAAEPgAAgLsAAEA8IAA4E0AJSHxQASqPAhABGoACAACmvgAAEL0AACy-AABPvwAALL4AABS-AAC6PgAAFL4AAHA9AACYvQAAFL4AAGS-AABQvQAALL4AAHw-AACYvQAAmL0AAAk_AACAOwAAAT8AAPg9AACYvQAAgDsAAAy-AACgPAAARL4AACy-AACYPQAA4LwAAFy-AABAvAAAJD4AAEC8AAA0vgAAoj4AAGy-AAD2PgAAgDsAAJ6-AACoPQAAQDwAAFA9AADIvQAAiD0AAKC8AABQPQAAf78AAEy-AABkvgAAgDsAAKA8AAC4PQAAUL0AAKI-AADgvAAAFD4AAOC8AAAwPQAAfD4AAOA8AAA8PgAARD4AAOg9AAAQvSAAOBNACUh8UAEwCTgBSgBSCQgPEJICGAAwAWAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=tC7NkH5xwBM","parent-reqid":"1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["996784584839803033"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"1178281967"},"15703873355094964597":{"videoId":"15703873355094964597","docid":"34-2-1-Z1DE65F081023A349","description":"Hello, Today in this video we are going to talk about real numbers. So tune in till the end. is an E-Learning company based in Mumbai India.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4099577/ef682cb4309897ac1c5148eeeb338fb7/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/NgG37wEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"14","reqid":"1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DXJM8isU_wVk","linkTemplate":"/video/preview/15703873355094964597?parent-reqid=1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL&text=The+Real+Numbers+-+Topic&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Introduction to Real Numbers | What are Real Numbers | Education | Letstute","related_orig_text":"The Real Numbers - Topic","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"The Real Numbers - Topic\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=XJM8isU_wVk\",\"src\":\"serp\",\"rvb\":\"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_E6UCggQkAYAEKyqLARABGniB-vf8-f8BAPb-AwX-Bf4B8wjxBfj-_QDyAQYJAwL_AA8ICgH7AAAA_wYB_wUAAADs9foHAAEAAAcY_QAEAAAABQAE7foAAAAFFQD6_gEAAN_2AAcD_wAAHQf5-v8AAAD8Av_uAAAAAAQIBAQAAAAADAT9-wAAAAAgAC0rMtc7OBNACUhOUAIqhAIQABrwAX8HDQDC--H_5-vCAaca5gCfDiD_DvrP_5s1AwDE_-kB-PjV_8j5v_8H7yEAxxEtABbTqQMX2B3_M_zu_wgAGQDR8AsAW90QAlDaCf_LLM4A7CMjAOEQEQAo_9kB5x_g_vwzP_4QAgr_5dPRABPQG__x9RcCQRZB_8DrFAPkOigE_OLZ_QL4Mf_Y8PEA6vgJBPz59AYQBvD56jwA-STtz_8AAP_78_Xq-zfo6wnv8fb1Dd4O-uoP8fYECDP-xRfo_ePtHPfbuvX67D4d_CTWA_DYBvTzF9r4CxcP9gAKjgH_v-v0-uQCAQqmHAn-IiX5CCAALVzRADs4E0AJSGFQAirPBxAAGsAHK4TtvjcLxTuzbLm7Vdn3PBJV0zz4MCC983cOvGIcMj1fCHm92Is6Oxv3gTxTQxa9vY6QvnznXL3Ypik7nUaCPn8WS7y-Esi82UNLvkOSdjspf4K9yXLyvcFqEb0CFau7ZExQPUbPrTz7qp66f6GHPUO4F7vUfHq9_bPuu_h6bb1jFnC9SxJ6vU1DGryOk0I8sSKJPTccBr68_JS70c3-PMG-I7zt9cm89XmGPez3ZL3SW5c8GVgXvhVNEb0uHXM8V3inPStGB70pIy68cDruvDpauDtY3-W8ahqvPchrlDwQXZA8EGYJvRliSz0lIvy8aDqQPVAgRzxOaZi8vUujPTmGOz1e_nk8wNFpOpIkGD7KNLs67-SzvfeRmz3N_bq8CV-pPXbdG72QOnC8CkrRPSQ8a72qvk68Q6OBO4abkj3hkDI8Qo89PRnnirzsQGc8VWSJPfaX3T2Y8ka8xqkRPZn14j07n-w7-J8mvUfR9jkDZEM8nPrgPUD9Ar0Mddg7ij6fPfy4BzyAbEi8RVylPHO49r3kBDc8wWt8PVK3871rFYg5bhmLPBBvkj26jTw8ACkePJvXAr2En7S72e0DvmLY5bt0LIy6pf9APNnqsr1Tkje6yy-DPKlFiT0quwm7X6IwvJAtkL2QE6a7lKmNPbc6Kj3EmZ07bAHnuzBH770_mqC6nokfPWbJwj3v5t44PO5lPVQ7o72vSHg5d14UPX2h9jxYEcG6jUEKPEB1ILxEaCk7kuYPvWxGAT1PfG-6ygiePGs-OL0kiWk5HV1APTlOQLvMNsi5Tv1SvVcpmLwssQE4gm1pvO7C4DyYpJo5HF2lvD0ybL39Fcs4utKHPcu4zrzPexE5h-2dPY-BhrzA0Ba4ax7BvcSuor1Z-CI4zPvuvFY9CTu7u5a5D7SnPJo737wfoLu44NhzPe-Ccr192SQ4bTHJPChJ8ry0nqw4HcAsPSGIvbwXsAQ5_94XvWu3Xb2XHhI4zq_BPEmTzD3fRIe4udCqu1yNLL0kpX24EXPpPb_COD0Gl-o3mBqsPdfwqb0C6F645oqnPZwVAT55ZCM3VFPSveh0z7wv-MU3mko6PYFWQ7vfTpE4pVJHPGCBPr2_5tI3rXRNvdJFWT2s1rA4mXJvPeejMb2AAB64ZtiNvY58ezsSj583BqhfvBueDr6Zf8A35badvQT-EL1xVpG3SfeOPK1QxL1znPK4qFO-PSJ0qzxXKZw4cA2mO-e-QTwxzdK4zoZhvdDs-j3AEpY43FrwvIAR9L3IDeu3IAA4E0AJSG1QASpzEAAaYC_xAETnF_4Z8BXOCu3aK_G7Jek7qRL__AP_BzDVAhZSrJHy9v8s7yIPoQAAAAQVCiIDAOt_5_T4LekC9d2q1RAad9IoKty68iewvOUS1xAjaew6IwAF46YPSRu2TgcPACAALbZOEjs4E0AJSG9QAiqvBhAMGqAGAAAsQgAAQEAAACBCAAAwwQAAcEEAADDBAADQQQAA8MEAAKBBAACQwQAAZEIAAADCAADQQQAAgEIAALjBAACwwQAASEIAAKDAAADgQAAA4EEAAOjBAAC0wgAALMIAAChCAAAAwQAAyEEAAODAAAA4wgAAIEEAADRCAABowgAAGEIAAOBAAAAIwgAAdMIAAIBBAAAwQQAADEIAAMJCAADAwQAAqEEAAKRCAABUQgAAQMAAAIDAAAAAwQAAqEEAAIA_AACAQgAAhkIAAFDBAAAYwgAAIEEAABBBAACOQgAAgL8AAJBBAAAAQAAA0MEAAGBCAADQwQAAIMEAAHDBAAAwwQAAQMEAAIBAAABowgAAIEEAAHDBAADgwAAAxEIAAABBAABAQQAAkEEAAADBAACMwgAA2MEAAEDBAACQwQAAUMIAAIDCAACAQQAAdEIAAIA_AADgQAAAEEEAAEBAAAAkQgAAAEAAAEzCAABAwAAAyEEAAARCAAC4wgAAsEEAAHjCAAAwwgAA5kIAAEhCAABwQgAARMIAAIhBAACgwAAAMMIAAKDBAABsQgAAqEEAAFDBAADwwQAAdEIAAJRCAACGwgAAYEEAACBBAABQQQAAAEIAAERCAAAAwgAAAEAAAIrCAAAYwgAA-MEAAEDCAAAcwgAAeEIAAJBBAAAAQAAAQEEAACTCAAAcwgAAOEIAALDBAABQwgAAAMAAAPjBAABgQgAAkMEAAIBAAAC4wQAAUMIAAEBBAAAgwQAAiEEAAKjBAAAQQgAAgkIAADDBAAC4QQAAfEIAACRCAACywgAABMIAAKDBAADIwQAAAMIAAHBBAAAkwgAAikIAACzCAADYQQAAcMIAAHRCAADAwAAAgMEAANDBAAA4QgAAUEIAABBBAADYQQAAnsIAAAjCAADoQQAATEIAAFhCAADIQQAADEIAAJDBAABgwgAAwEEAAKxCAAA8wgAATMIAALhBAAAoQgAAREIAAKjBAAAcQgAAREIAAABBAACwwQAAIMEAADDCAAAAQgAAOEIAAKrCAAAwQgAAuMEAAOBBAACgwQAA0MEgADgTQAlIdVABKo8CEAAagAIAAJi9AACovQAALD4AAFw-AACgvAAAiD0AAMI-AAAtvwAAuL0AAHC9AAAwvQAAXL4AANg9AADmPgAAUL0AAIA7AAC4PQAAMD0AAKA8AADyPgAAfz8AAES-AAAsvgAAqD0AAGy-AAD4vQAARD4AAEC8AAA0PgAAgLsAAII-AAAcvgAAmr4AANi9AAD4PQAAiL0AANg9AABwvQAAnr4AAEA8AACIPQAAML0AAHw-AABQvQAAbD4AAAy-AACaPgAAor4AAIY-AABMvgAAcL0AAHC9AABcPgAA4LwAAKA8AAC4PQAAMT8AANi9AADYvQAAkj4AAJi9AABkPgAA-D0AADA9IAA4E0AJSHxQASqPAhABGoACAAAUvgAAVL4AAOi9AAA5vwAAED0AAKi9AAA8PgAAPL4AAEC8AACAOwAAoLwAADA9AAAQPQAAuL0AAFQ-AAAwvQAAqL0AAC0_AACYvQAAFT8AADy-AAAEvgAAQLwAAAS-AACgPAAATL4AAKA8AACgPAAAmD0AAIA7AABQPQAABD4AAFC9AAC4vQAArj4AAHC9AAAkPgAAND4AAFy-AAD4PQAARD4AAFC9AABcvgAAgDsAAIa-AAAUvgAAf78AAFS-AADovQAAqL0AAIC7AABAPAAA2L0AABQ-AACYPQAABD4AAFC9AACgPAAAED0AAIg9AADoPQAAFD4AAKg9AACovSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=XJM8isU_wVk","parent-reqid":"1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["15703873355094964597"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"1449209201"},"13387970390743468328":{"videoId":"13387970390743468328","docid":"34-1-14-Z04F6FA4633F7B535","description":"Class: 10th ✔️ Subject: Maths ✔️ Chapter: Real Numbers (Chapter 1) ✔️ Topic Name: Chapter Overview and Introduction ✔️ Topics Covered In This Video (By Kishore Sir): In this captivating video, sir...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3504678/3c5a15d861b50c54d86fe4fb560549a1/564x318_1"},"target":"_self","position":"15","reqid":"1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DveHqtzdg4g8","linkTemplate":"/video/preview/13387970390743468328?parent-reqid=1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL&text=The+Real+Numbers+-+Topic&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Real Numbers - Chapter Overview and Introduction | Class 10 Maths Chapter 1 | CBSE 2024-25","related_orig_text":"The Real Numbers - Topic","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"The Real Numbers - Topic\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=veHqtzdg4g8\",\"src\":\"serp\",\"rvb\":\"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_E9siggQkAYAEKyqLARABGniBAP3__v4DAPAIAvz7AQAB_Qj4_fj-_QDw-P0F_wEAAPYB_AH1AAAABAfy9AAAAAAG8AX7_v0BAA0G9QMEAAAADQgGA_wAAAANGPsC_gEAAPEE-_0DAAAAFf4GAwAAAAALCAP5_v8AAAUGAxQAAAAABf_79gAAAAAgAC1S99o7OBNACUhOUAIqcxAAGmAU-gBQ_DMMzfEF-NTp9R8Dwhb_H9fW_9kP_wMf8eD-K-ivHAP_Me0W9a0AAAAQF-wLCgDrZ_rm5C_wPgjszO7gD3_cGefu6BEA9iEdvvBJTAjjJxcAz_zwHwjQq1MnNBUgAC2l1S07OBNACUhvUAIqrwYQDBqgBgAAMEIAAFzCAABoQgAAEMIAABBBAACgwQAAAAAAABDCAABgwgAALEIAAIhBAABgQQAA7MIAAGDCAABUQgAAAMIAAADCAADwwQAAqEEAAIjCAAA4QgAAQMAAAIA_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-MEAADzCAACAPwAAiMEAAEDAAACAPwAAUEEAAOBAAABEwgAAIEEAACBBAACIwQAA8EEAAEDAAABAQQAAYEEAAABCAAAAAAAALEIAAMjCAADYQQAAlkIAAADCAAAcQgAAQMAAAKDBAAAkwgAA6MEAABBBAACIQQAAUEIAAEDAAACkwgAAJEIAAAAAAACgQQAAQEEAAABCAADQwQAAgsIAAIpCAAAgQQAAFEIAAOBAAACgwAAAwMAAAHRCAAAwwgAAAMIAANBBAAAEwgAAuEEAACDCAACoQQAAuEEAAMDAAAAoQgAAKMIAAHjCAADYQQAAbMIAAFjCIAA4E0AJSHVQASqPAhAAGoACAACIvQAA4LwAAGw-AACOPgAAuL0AAN4-AACYPQAAR78AAOA8AABMvgAAZL4AAGS-AAA8PgAABT8AANg9AAD4vQAAHL4AABC9AAC4PQAAPT8AAH8_AAAUPgAAEL0AALg9AABEPgAA2L0AAIo-AAA8PgAAqj4AAEQ-AABMPgAAHL4AAAy-AADovQAAlj4AABC9AACiPgAAmL0AABG_AABAPAAAqL0AADQ-AAABPwAAML0AANY-AABkPgAA6j4AADy-AADOPgAA0r4AAFA9AAAkvgAAVD4AAK4-AAAEvgAAND4AAF8_AACevgAA2D0AAMg9AACYPQAAkj4AAJ4-AADqviAAOBNACUh8UAEqjwIQARqAAgAApr4AAGS-AABAvAAAK78AAAQ-AABAPAAAkj4AAEy-AAC4PQAAHD4AAKi9AABEPgAAED0AACy-AACgvAAAyD0AADy-AABlPwAAmL0AAA0_AABkvgAAPL4AAAy-AABwvQAAML0AAAy-AAAMPgAAuD0AAIA7AAAwvQAAUD0AAAQ-AABEvgAADL4AAM4-AACAOwAAJD4AANi9AADKvgAAJD4AAKg9AADIvQAARL4AAJi9AAB0vgAAbL4AAH-_AACKvgAA6L0AAMa-AACovQAAUL0AAIK-AACgPAAAxj4AAAw-AACIvQAAoDwAAIC7AAAsPgAAgDsAAFS-AACAOwAA4LwgADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=veHqtzdg4g8","parent-reqid":"1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["13387970390743468328"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"14055280026505266847":{"videoId":"14055280026505266847","docid":"34-5-13-ZB2E7F3A775DE219F","description":"In this online lecture, Khurram Shehzad explains 9 Class Maths Chapter 2 Introduction Real Numbers. 2 Definition of IFrational Numbers 09:31 9th Class Math Chapter 2 Examples If you have any...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3907764/3a44afa32598f56f7d84ad24eba1e64f/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/sQlDoAAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"16","reqid":"1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DiNpfsFegCg4","linkTemplate":"/video/preview/14055280026505266847?parent-reqid=1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL&text=The+Real+Numbers+-+Topic&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Exercise 2.1 Introduction Real Numbers Mathematics - Math Ch 2 Real Numbers Mathematics - 9th Class","related_orig_text":"The Real Numbers - Topic","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"The Real Numbers - Topic\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=iNpfsFegCg4\",\"src\":\"serp\",\"rvb\":\"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__X-AgD2_gMF_gX-AQYH-AD3__8A8frzA_gB_wAFAwcEAgEAAPoQ8P8DAAAA-Pn6EP__AAAI_PX9-AAAAAgH__b3AAAAEBH6-f4BAADs9wL_AwAAABMEAf3_AAAABgX79v7_AAAGDQsKAAAAAAgJ-wMAAAAAIAAtHT3WOzgTQAlITlACKoQCEAAa8AF_BfsC0fzo_wLn8ADwJhMBhQAC_wkL8wCx8S4CrPXpAA4GIADT6_cAAvYKAPYgH_9OAP0AH-gP_x_0A_8MBvIA3Q8TAVHq5wA3EwP_BAbXAKkaB_4u9fz_AOryAPcR5f8FBP7__wvvAQn_7gA07AH_BNsPAScQ9wHu5vYB7yv7Buf33f0hA_4D6OsMAbb_GAb97fn_AyoYAeP18v3r1-UEGu0O9QwQ1wD99ez57RD-AuMGCvbvDPX5_CAYCeTz7QD-7Af1BQnwBhgF-AMIDAME_vABDNDqAAEIBwMM-vMNBPv--AHw9P3_2hYC_voD_A0gAC3g4Sk7OBNACUhhUAIqzwcQABrAB4Du074R3sO65eiWvBzIP70J6ow7nMwuvTlk472y0gs7iQMtvRCAbj3ZVW28OXuIulnAVL4EjIw5Ks_XPLXhkD66ETa9GokwPXV0_L0vE5o9CwIQvfWha76E0wc9dDXDu-PiaD7Gszo9juOsvDBHzzw4uo-98icqPCS6Ir0JDIO9S-okvc6MTr4rLF29QAgWvHjACjwEtwS9xkqxPCDrCT7Fbdm8qpk1vC_rtDwJACm9210Wvdg1TrsbdHg8FKFHvPc_ED4XoG28n0nyO3A67rw6Wrg7WN_lvA9CxLpqfuM6XIpQvDbsMj0ADQU9xNI7vXkqhj1FBym9CpAXvW2s5L2mES49lE7BO_fWtj2q8NQ5aFcEO9lCkL02vbo8SOxqO1rXCTwxYIm87prKO6FZA72kRFy8NKSnOwOY8j0Tysw8XFnivAwbKj0Fndo74qmsPE0dWj1jzW28JIp_vN3zdDvvDt88NfHROQA7N70MQOO8Lb6XvG2shDwdEDc9s1twPIAzpzzoWNQ8ksE8O8U1Qz34UQ2-CW8su-c4171I7Am9B09XvCrFBDotSwq9ZKvwO1mHwz0Kz1W99IJTOy8yojsUFPW8GPaLO4KrXD0vTZG8AcNyPLXkTDyI-U095xelO_xlgb2OoVI83-tavEKfvjxcMY09R3uTO4YwCD1Vp1697EK9Opt-vz0Ud_w89IgrOixyOjtfBDK8-4TgO5cjnz37xny9A6wSOsnaUL0g33S9SNkhuYh6izx0Yqy60A5tut8x_LzU8oO9JBAdutMIBz1WF0u8p8bruV-tf70u4rA9CQI6Ob9_c70UjTq9TFi4ON0qo7xXPcC9kQYeORZeM734yEE8Ou6HuVqhSLyLvFE8zhMfOcwgw73UDQS-CFOFORW0wbu05zK8eL-2uIMT0T0h8_W7MEsQOEOaKTuhXro7-bV5OHFmpb1yYpk8Quj-OR80Fj3xr-88mgOJOBGgUD26SZy9qLB5Oe1EST1b7PY843xnOBt5tb3gsek8zLILOCqOQz3iAtA9uwH3OGGlQj3SAs-8PoCXtt7mjT2BXvi8R4g2OEQfJ71R-pI9NvDBOB3siD1vIZk825A8OHHbKD0SBem8yUO4OCfapb10lvk9ChtjOK2n9j2z6pi8ezs6uSByZL2e2Sm9BCt_uB4qeDslBOu9I79nOGsTgrztig89V9Ldt7LpUj1Hlbw8LPHMt4qWVz0QWPk9jRdAOBgnOb2UQ6U9ZZTHuDVsSr1l35U9kdSDN0fbkr0_bw08ZV-qNyAAOBNACUhtUAEqcxAAGmAK5QAe-SMg2AL49evj1Sjv2f-wPMrp__YD_ywP7c4TO8K5CAf_Fc3z3KEAAAAZ39n3EgDYf7XQ1Vrs7wTKuwgfAXD_OPjE5SgAzRoC_-YdPB_D3ioA6wGNPzgXnzsRPSAgAC03iRc7OBNACUhvUAIqrwYQDBqgBgAA4EEAABDBAAC8QgAAnsIAAIjBAABAwQAAiEIAAAAAAAD4wQAAIMIAAAAAAAAwQgAAPMIAAIDCAACAQAAAsEEAADxCAABYwgAANEIAAJjCAACYQQAACMIAACTCAACWQgAAuEEAACDCAAAowgAAFMIAANBBAABcQgAA6MEAAAxCAAAwQQAASEIAALjCAAAAQQAAAMAAABRCAADIQQAAEEIAAEDCAACgQAAAAAAAAODBAADAQAAAoMEAAODAAADQQQAAqkIAAFzCAABAQAAADMIAADjCAAA8QgAAJEIAAHBBAACIwgAAFEIAAIDBAAAIQgAALEIAAKBBAACMwgAAVMIAAJBBAACQwQAAJEIAAI7CAAAcwgAAIEIAAChCAACAQAAAZMIAALJCAACAwQAAqMEAAGBBAACwwQAAmEEAACxCAAAAwQAA-EEAAIBAAACowQAAQEEAAKRCAABgwgAAoMEAAOBBAAAEwgAAAEIAAARCAACowQAA4MEAAEjCAACwwgAAcMEAAKDAAAB8QgAAHEIAAFjCAAB8QgAAyEEAAMLCAABAwgAA0EEAAIDBAABMQgAABMIAAHhCAABgQQAA4EAAAMBBAAAsQgAA4EEAACRCAAAQQQAAQMEAACTCAACewgAAAEEAAKjBAAAcQgAAsMEAAKBBAAAAwgAAQEAAAHTCAABUwgAAaMIAAODBAABkwgAAAEIAAFxCAACgQQAAIMIAABBBAABAQAAAOMIAACjCAACAQAAAKEIAAGBBAAAAQAAA4EAAAGhCAABAwQAA6MEAAFBBAAAAQAAAVEIAAFBBAAD4QQAAwMAAADxCAABwwQAADMIAADDCAACQwgAAvEIAAHjCAABwQQAAgkIAAGDBAAAcwgAAqEEAALDBAACCQgAAJEIAAADCAACgwAAAwMEAAIA_AACgwQAANEIAAHBBAADAQQAAUEEAAGBBAAAMQgAAhMIAAADCAACQwQAAEEEAAGBBAAAowgAAqMIAAGxCAABAwQAAAAAAAABBAAAAQQAA2EEAAFBBAABAQQAAQMAAAIA_AAAwQgAAAMEAABTCIAA4E0AJSHVQASqPAhAAGoACAAAcvgAAfL4AAPg9AADoPQAAXD4AALI-AAAwPQAAc78AAGS-AACIPQAAQLwAAA-_AACYvQAArj4AADA9AADIvQAAlj4AAIA7AACCPgAALz8AAH8_AAAkvgAAcL0AAAQ-AACgvAAAnr4AANg9AACAOwAAtj4AAAw-AAC2PgAAoLwAAOC8AAD4vQAAVD4AABC9AACYvQAAyD0AAL6-AACoPQAAUD0AAEC8AAAEPgAALL4AAGy-AABcvgAAzj4AAKa-AADgPAAAgr4AADS-AACavgAApj4AAIo-AABAvAAA-D0AAFk_AACoPQAARL4AAEw-AACAOwAA9j4AABw-AAAEPiAAOBNACUh8UAEqjwIQARqAAgAAXL4AAFC9AACovQAAHb8AAIC7AACYvQAAoj4AANi9AABcPgAAoLwAAOC8AADIPQAAmL0AAKi9AABAPAAAmD0AABC9AAAjPwAAVL4AAPY-AADIvQAA6L0AAEy-AAD4vQAAUL0AAOC8AACYPQAAuD0AAIA7AACoPQAAmD0AACQ-AAA8vgAAmL0AAII-AAAwPQAABD4AAPg9AACKvgAAqD0AAKI-AAAMvgAAuL0AAKA8AAAsvgAALL4AAH-_AADIvQAAUL0AADS-AABQPQAAyD0AAEy-AABAvAAAzj4AABw-AACIvQAAEL0AAEC8AAD4PQAAoLwAACS-AACAOwAAUD0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=iNpfsFegCg4","parent-reqid":"1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["14055280026505266847"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"955272031"},"14895859367404493485":{"videoId":"14895859367404493485","docid":"34-3-7-Z464B5BA2E8E41E31","description":"Introduction of real numbers class- 10th Topic 1...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4445298/98163e56eda7875a388343a0a9a37c7c/564x318_1"},"target":"_self","position":"17","reqid":"1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DCBG7iriEaXI","linkTemplate":"/video/preview/14895859367404493485?parent-reqid=1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL&text=The+Real+Numbers+-+Topic&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Real numbers part 1","related_orig_text":"The Real Numbers - Topic","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"The Real Numbers - Topic\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=CBG7iriEaXI\",\"src\":\"serp\",\"rvb\":\"Eq0DChI0MjY5MzU4MDMzMTk5OTU2MzcKFDE4Mjc4NjMwMTM0NDIxMjg3MzA5ChM4NDQ1OTg2NjAzODk1NjA4NDM5ChQxMjU3MzA3MTM3NzI1MzI2OTAyNwoTNjQ3ODk5NzAwMjUzMDM1Mjk0MQoSNDYxMzY1OTg1MTgwMzU4MTAzChQxNjg2OTk2ODg2NTc3MDgwODgxMAoTNzU3NjY4Nzg0NjgyMDkxOTQ5NQoUMTI0OTAyNDkxMjkxMTMwMjczNzAKFDE3NTg5ODAwMzE3OTY2MjUwOTgyChQxNzA3MTI2OTU0Mzk4MzM1OTE3MwoSOTk2Nzg0NTg0ODM5ODAzMDMzChQxNTcwMzg3MzM1NTA5NDk2NDU5NwoUMTMzODc5NzAzOTA3NDM0NjgzMjgKFDE0MDU1MjgwMDI2NTA1MjY2ODQ3ChQxNDg5NTg1OTM2NzQwNDQ5MzQ4NQoTMjk3MDE3MTAzODg2MDk4NTA1OAoUMTQzMjYzMDIxMzAyMjg5MzExMjUKEzI4ODE4OTMzMzQ5OTc5OTA4ODcKFDEwODAwNzM0MjEwNjIxNjY3NDU0GhYKFDE0ODk1ODU5MzY3NDA0NDkzNDg1WhQxNDg5NTg1OTM2NzQwNDQ5MzQ4NWquDRIBMBgAIkQaMAAKKWhoc3B5cHduaGx4cXZxaGhoVUNKN1FzY21SdUJaUlZSRlBmNUJScy13EgIAESoQwg8PGg8_E9sEggQkAYAEKyqLARABGniB9vv7-_sFAPH_A___AgAB9gXw-fn9_QDzAQYJAwL_AP8KAwAAAQAA-g8D_gYAAADx8fr8AgAAAP8H_PYEAAAAB__--v4AAAAFFAD7_gEAAO_0_QsD_wAAFQT-BQAAAAD1Cvj0AAAAAAUGAxMAAAAAAPr8-QAAAAAgAC1ZkeI7OBNACUhOUAIqcxAAGmDxDwA12yYH8ez29t_ZBzEW3A0JFtUF_wXuACEY_fMgW9Os8wUAFO0GC7gAAAAKExYS7QDqVfkI50z5DfPpBgDpDH_dLtMKw-cY0eTeBQMj81YdAQ4A3Qrb9CIP71EZCSEgAC2Kd0A7OBNACUhvUAIqrwYQDBqgBgAACEIAAAhCAAAkQgAAnsIAAFxCAAAgQQAA2kIAABBBAADoQQAAAEEAAFBBAAAIwgAAyMEAAIDBAACAPwAAoMAAADhCAABcwgAA8EEAAFzCAABAwQAAQMEAAFzCAABQQQAAQMAAAFzCAADYwQAAqsIAAERCAAAUQgAAuMEAAOBAAABcwgAAyEEAAOjBAAAQwQAAgD8AALJCAACAQQAAqEIAAMhBAACAPwAA0EEAAMBAAADIQQAA4sIAAGDBAAC4QQAATEIAABBBAACQwgAAyMEAAFBBAADgQQAAcEIAAKBBAAAAwwAAwEAAADTCAAD4QQAAoEEAAEjCAAAowgAA-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_r4AAOA8AACIPQAAED0AAKK-AABwPQAAND4AAKC8AABMPgAA-D0AAJg9AADgvAAAqj4AAH8_AACAOwAAhr4AAHQ-AABUvgAAZL4AAKg9AACgPAAAfD4AAEC8AABEPgAAPL4AAHy-AAC4PQAAHD4AAOC8AACoPQAAFL4AAMK-AADYvQAAML0AAHy-AAAsPgAABL4AAHC9AACCvgAA-D0AAHC9AAAkPgAARL4AAFA9AAAEvgAAPD4AAKg9AAA0vgAAqD0AAE0_AABsvgAAUD0AAJ4-AADIPQAAXD4AAEQ-AADovSAAOBNACUh8UAEqjwIQARqAAgAAqL0AAIK-AAAwvQAALb8AADA9AADIvQAAED0AAMi9AACIPQAAML0AADC9AACIPQAAED0AADC9AADYPQAAEL0AAJi9AABDPwAADL4AAMo-AAAMvgAAdL4AAKA8AADYvQAAgLsAAAy-AABAPAAA4LwAAI4-AAAMPgAA4DwAAPg9AAAwvQAAEL0AAJ4-AAC4PQAAyD0AAAQ-AAAEvgAA2D0AAL4-AADYvQAAHL4AAEA8AACKvgAAyL0AAH-_AABwvQAAQLwAANi9AAAQvQAAiL0AAIA7AACYPQAAuD0AAOg9AACgvAAAgLsAAJi9AABQPQAAuD0AAFC9AADIvQAAcL0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=CBG7iriEaXI","parent-reqid":"1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":480,"cheight":360,"cratio":1.33333,"dups":["14895859367404493485"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"2970171038860985058":{"videoId":"2970171038860985058","docid":"34-6-6-ZF47A9C3A4AC6A383","description":"One of the prerequisite skill to learning Algebra and higher math concepts is to get acquainted to and understand the different number classifications especially the real numbers. In this...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3725379/37a5c089cf2c504d0d429a0061a347c8/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/I44bLgEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"18","reqid":"1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D6Mbdh_LQEUA","linkTemplate":"/video/preview/2970171038860985058?parent-reqid=1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL&text=The+Real+Numbers+-+Topic&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Real Numbers Tutorial","related_orig_text":"The Real Numbers - Topic","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"The Real Numbers - Topic\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=6Mbdh_LQEUA\",\"src\":\"serp\",\"rvb\":\"Eq0DChI0MjY5MzU4MDMzMTk5OTU2MzcKFDE4Mjc4NjMwMTM0NDIxMjg3MzA5ChM4NDQ1OTg2NjAzODk1NjA4NDM5ChQxMjU3MzA3MTM3NzI1MzI2OTAyNwoTNjQ3ODk5NzAwMjUzMDM1Mjk0MQoSNDYxMzY1OTg1MTgwMzU4MTAzChQxNjg2OTk2ODg2NTc3MDgwODgxMAoTNzU3NjY4Nzg0NjgyMDkxOTQ5NQoUMTI0OTAyNDkxMjkxMTMwMjczNzAKFDE3NTg5ODAwMzE3OTY2MjUwOTgyChQxNzA3MTI2OTU0Mzk4MzM1OTE3MwoSOTk2Nzg0NTg0ODM5ODAzMDMzChQxNTcwMzg3MzM1NTA5NDk2NDU5NwoUMTMzODc5NzAzOTA3NDM0NjgzMjgKFDE0MDU1MjgwMDI2NTA1MjY2ODQ3ChQxNDg5NTg1OTM2NzQwNDQ5MzQ4NQoTMjk3MDE3MTAzODg2MDk4NTA1OAoUMTQzMjYzMDIxMzAyMjg5MzExMjUKEzI4ODE4OTMzMzQ5OTc5OTA4ODcKFDEwODAwNzM0MjEwNjIxNjY3NDU0GhUKEzI5NzAxNzEwMzg4NjA5ODUwNThaEzI5NzAxNzEwMzg4NjA5ODUwNThqhAkSATAYACJFGjEACipoaGNmY2JkdmVzaXFzZWRiaGhVQ1Exb1lBYmsyTm5pRjlVSGVJVGhpM2cSAgASKhDCDw8aDz8TiQOCBCQBgAQrKosBEAEaeIH69_z5_wEA8AgC_PsBAAH2Be_5-P38AO39AQQJAAAAGw8OAQL_AADtCAf4BQAAAPHw-vsCAAAA_wf89QQAAAAD8v71-QAAAAUVAPr-AQAA6_YMCAMAAAAO_gEIAAAAAPwC_-4AAAAABQIHCQAAAAAF_Pn-AAAAACAALSsy1zs4E0AJSE5QAiqEAhAAGvABf-YC__cK5ALD9dAAqxnnAIYXDv89FsAAsC8vA7glDQDO9-QA3ebyABHBGf-6IUn-RvTE_-7ZE_8t6e__JwX8AdoHKAER1i0CSwMZ_w7q2AABCRL-G_YRABrwv_8KGgH9Kvwo_vDz9AAR_88DIeYZAyAPIAEG5gn_G9sTBQwrGQfO6eD_Hvf9_gMCBvrd9DUIBu_r__Ue9PjQG9QACi3y-vvfBPoJM9D9I_D1BungB_zk2xT3AvDY-hMKFPTKLgT3BfsW-cXm7fsMCxrzDtf_Debz7fUW3PgLTBDzAdTF9PbZDgHw0yQQ-rf-CRETHAgNIAAtas0FOzgTQAlIYVACKnMQABpgFfcAPN8m6QHg6ODgyAE_5uAU0zTA9P_-4f8cDfQUBW2eoNUb_xjwB-efAAAAGREiF9cA-3_f_PNG7d4GwdHUAwt86UET474GLMvK8BrtKvFwAApkAN8SkBc8GeVoGjo6IAAt1A8OOzgTQAlIb1ACKo8CEAAagAIAAAS-AACWvgAA-D0AAIY-AABAPAAALD4AANo-AAArvwAA4DwAAIg9AADIPQAAnr4AAEA8AACGPgAA4LwAAEw-AAA8PgAAMD0AADA9AAD-PgAAfz8AAFy-AAAsvgAAJD4AAHS-AACqvgAA2D0AAEA8AAB8PgAAgDsAAKI-AACSvgAATL4AADA9AACCPgAA-L0AANg9AAD4vQAA4r4AAPg9AACgPAAAFL4AAI4-AAAsvgAAQDwAAKi9AAB0PgAAdL4AAGQ-AACCvgAAFL4AACy-AABkPgAAcD0AAIi9AADYPQAAXT8AAEy-AAAwPQAAxj4AAKA8AACuPgAAuD0AABQ-IAA4E0AJSHxQASqPAhABGoACAADovQAAVL4AACS-AAAzvwAAFL4AAPi9AAAkPgAAcL0AAJg9AACIvQAAEL0AAIC7AAAwPQAA4LwAAAw-AAAwvQAAmL0AADM_AAAEvgAA5j4AABy-AABkvgAA4LwAAPi9AABQvQAAFL4AAJi9AAAwvQAAnj4AABA9AABAPAAAmD0AABC9AAD4vQAAzj4AAOA8AACSPgAAqD0AABS-AADoPQAAlj4AAHC9AABEvgAAED0AAIK-AACAOwAAf78AAOi9AAAMvgAAHL4AABA9AADgvAAAoLwAAAQ-AAD4PQAABD4AAOC8AADgvAAAUD0AAHA9AAAkPgAAQDwAAKi9AACYvSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=6Mbdh_LQEUA","parent-reqid":"1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["2970171038860985058"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"14326302130228931125":{"videoId":"14326302130228931125","docid":"34-4-13-ZA1086B0AD4F9633C","description":"This video provides a basic introduction into real numbers. It explains how to distinguish them from imaginary numbers. It also discusses the difference between rational and irrational numbers...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2251035/7bca235cc09f3daaedb1350053340d76/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/RG2zGQIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"19","reqid":"1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DVEY08fMYmEU","linkTemplate":"/video/preview/14326302130228931125?parent-reqid=1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL&text=The+Real+Numbers+-+Topic&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Real Numbers","related_orig_text":"The Real Numbers - Topic","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"The Real Numbers - Topic\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=VEY08fMYmEU\",\"src\":\"serp\",\"rvb\":\"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-f79AwDw_wP-_wIAAfYF8Pn4_f0A8gEGCQMC_wADBA_9_gEAAPUK_PoEAAAA8fD6-wIAAAD_B_z2BAAAAAj3BPn-AAAABRQA-v4BAADs_wIJAwAAABYF_gYAAAAA_AL_7gAAAAAFAgcIAAAAAAD6_PkAAAAAIAAt55jcOzgTQAlITlACKoQCEAAa8AF_9_H-yPrJ_7bhvv_ADjABlDoE_yEr3QCvSAcAnBXk__0b8gD27KX_FNbtAckRLAAfAb0ABMEY_0b_5f5EARoB7_8LABbXBQIq6RQB9hvK_e388v33FyAB_cDaAPwE4v8YADH97wr4_c0VqfsR_kUBDwkxBA_yEQnlBgMA8h8L_gvu0gDoIPX84eUQAekYQQEQ3yEAAPvb-c0MEwP4IusFHt0TAtce6P782t4BCuwD7PoBD_MnwukDIvknBu4WBffw2RYLzRb68AEJBfJk1OwC3wD2BubSAQI5HgP39NQB_Af25vDk7RAS2QH-CQH28f0gAC31TwU7OBNACUhhUAIqzwcQABrAB1wfxr4AQXQ9pxKUPBzIP70J6ow7nMwuvTIA1L1hJiA9QqXbPEkTzz0iJhc7sK91vaFHDL5S3Iy8sCwCvcVVhT5UMG-9m38qvHE9Wr7nFr89hUyovPxUJb4x2S68B3PmN2pdEzxGfCe9IHMOu2_AAj040VO9CgmivAGcxbt9_sG7oJJuvSIXob07nIq8BStTvRt_hzzXN5u9rqliu2zPzD1COh-8d4FUO1wQYD0Al1a9jlGovH3PqL322gc89EAYvC9Ndj3GlYk9wutEPPRhB73DDYi9Lp2FPOv2s73WviU8VdfGu9_8xj3sG_M8h1k-vUrExT2X0xS9MGOKvKjIIb4CfBw96OltPOyG7T2M94M9cluROxjSAb5Jg6s9liYlvKRupzz90kc8Frq3vB88ZD0-40c90AHROzyUMjxK35o8nmutOwUqLTxGQRA93fNXPFuVlD3qDqi9MDCGvBy2TT2Qrgi9EmmbvLt8a72Dw2Y8IHucOxvtXT1vFLQ8VUxBOqKZJz1g-268Z87dOwUjpT3WAju-SeWaOs7yBr2QOIq9nMtDvKDzpDxfHhc9MLP4uovLnD2kF3q9X3hKvKUHj7xgAAa7QVlCPAqHGb3yBj292TobPClb5L0b9yE9XquQu_xlQbyF7Nm7h0I6vOnsyTxMGM09X-iaucVlBj36DAi-VSEDuhqcjT3kxw49npHvuyf0rz1fQJQ9iNsWt_c_qz1DId27Kvm7u2SrsLyW54a9iOTYuoimR71XYIO9dP9nON1hkz27lwu-pQ5oOZDC0DzJu1k9njYeOdFKEL1sMEO8_2uwOVOzJz3SkEy9MxqUOKs9kb0aUhW-MFEKOvX9bz3Nxq88zuBkuOSCszwO1yo9UONouheFuL1arLK8fyLuuZjUtTz0QjA9yrTOt5OpAj5cdXy7w8gQOUy8CL26UJG5MhlBufmnLzxiIJm8vZDtuKy6u7pQyI49ZMz6N5i0Ujs_cMW99y5gOc6vwTxJk8w930SHuINokrzkgx49p2upN3TEDjz5dEs9MhXguJoHED3eOMm9CDT7NlU13LxrD_s8pxegNyL7AL7GXyQ9F5hlOBJoj7tOg728dTKItu8tdjwvcqo8xX_dOK1jgbzczuM8VXF1OMHjKz7cpWi8B4l0uc3Her3TFey95pv4uHP5ajxV-KO94xA7N2JqC73i7oc8vthft-wDvTt81A--F_rcuMr0cD0i4Ss-8cuKOJiTZTuAC9I9mOQPuX4nzL0svIs9ySnBODMOf71p7a660zyfNyAAOBNACUhtUAEqcxAAGmANAgAp1TAC_t_29N_h-TTz2AH9J739__7WACkZ9PocU7-_5A4AGAEb_LIAAAAUDCcWzAD9ZtAA2Ern8Abh09wRDX_sGBPatuEJzt3UHu0d-V4FFx0A-fOhBDsf0E0NDxMgAC2eXio7OBNACUhvUAIqrwYQDBqgBgAAiEEAADDCAAAEQgAAosIAAARCAABAQgAAxkIAAKBBAABswgAAgL8AAEBAAACAwgAAIMEAAPBBAACAPwAAIMEAAFxCAAAwQQAAEEIAAEBAAABgQQAA0MEAAADCAAAIQgAAOMIAAChCAAAwQQAAGEIAABDBAAAcQgAAAMIAALjBAADwwQAAQEEAALbCAAAAAAAAgEAAAMZCAACYwQAAXEIAAExCAACIQQAAkkIAAMBAAACgQAAAUMIAADxCAACoQgAAHEIAAPhBAAAAwAAAAMIAAMDBAADgwAAAAMEAAMBAAABowgAA-EEAAIA_AAB4QgAAUEEAAHjCAABMwgAAaMIAAADCAADCwgAARMIAAPjBAACAwQAAkMEAABxCAACAQgAA4MEAAJRCAAAkwgAAisIAAKbCAAAAQAAA-EEAACBCAAAUwgAAvkIAAAAAAAAAQAAAQEAAACRCAABwQQAAYEEAANhBAAAMwgAA4MEAADRCAACIwQAAAAAAAAAAAAAowgAAFMIAAEDBAAAAQgAAXEIAAKDBAACQQQAAYMEAAOBAAACswgAAMMEAADBBAACGQgAAgMAAAGhCAADgQQAA6EEAAADCAADQQQAAyEEAAEhCAABgQQAAsMIAABBCAADgwQAABMIAAIDCAAAwwQAAYMEAAFDBAAB8wgAAuMIAAIBAAAC4wQAA2EEAAPjBAAAQQgAAMEEAADBCAABgwgAAJEIAAKDBAADgwAAA-MEAAJrCAAC4wQAAgD8AABxCAACoQQAAwEEAAARCAADAwQAA6EEAAEhCAAAAwAAAqMEAAADAAAAcQgAAkMEAAIhBAACAQQAAgMIAAAjCAACGwgAAAEIAAFzCAAAgQQAAAEEAACDCAACgQQAAAEIAAHRCAAAMQgAAbEIAAIDAAADgQQAAEEEAAIDBAAAAwQAA8MEAAIBAAAAMwgAAUMIAADDBAAC4QgAAxsIAADDBAADYwQAANEIAAMBBAABUwgAAIMEAAEDAAABwwQAAUMEAAIDBAADIwQAAqEEAAEDBAADIwQAAeEIAABBBAADAQAAAiMEAAODBIAA4E0AJSHVQASqPAhAAGoACAABAvAAAfL4AANg9AAAkPgAAcL0AABw-AAC2PgAAGb8AAFC9AABEPgAAiD0AAHS-AADoPQAAnj4AAIA7AAD4PQAAcD0AAPg9AACIPQAA1j4AAH8_AAB8vgAAmL0AAFQ-AAB0vgAAbL4AABA9AAAwPQAArj4AAOA8AABsPgAAfL4AACS-AADgPAAAVD4AANi9AACYPQAAFL4AAPa-AACIPQAADD4AAGS-AABEPgAAXL4AAMg9AAAEvgAADD4AADy-AACKPgAATL4AADC9AAC4vQAAqj4AAAQ-AADovQAAJD4AAEU_AADovQAAgDsAAMo-AACAuwAAdD4AAAw-AACAuyAAOBNACUh8UAEqjwIQARqAAgAAFL4AAHy-AAAMvgAAPb8AAFC9AACIvQAAbD4AAAy-AAAMPgAAuL0AAMi9AACgPAAAML0AAKA8AADIPQAAQLwAAPi9AAAtPwAAZL4AAPo-AADIvQAAZL4AAKi9AACYvQAAiL0AALi9AADIvQAAQLwAAJI-AAAwPQAAMD0AAPg9AAAQvQAADL4AAK4-AADIPQAAqj4AAOA8AAAsvgAAED0AAKY-AABAvAAADL4AAEC8AACKvgAAEL0AAH-_AACIvQAAML0AADS-AAAwvQAAgLsAAOC8AAAkPgAA-D0AADQ-AACgvAAAqL0AAJg9AADIPQAADD4AANi9AABwvQAAMD0gADgTQAlIfFABMAk4AUoAUgkIDxCSAhgAMAFgAGgA\"}","related_url":"http://www.youtube.com/watch?v=VEY08fMYmEU","parent-reqid":"1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["14326302130228931125"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"3658952675"}},"dups":{"426935803319995637":{"videoId":"426935803319995637","title":"\u0007[Real\u0007] \u0007[numbers\u0007] - 2 \u0007[topic\u0007] explanation and question solution tyt mathematics camp","cleanTitle":"Real numbers - 2 topic explanation and question solution tyt mathematics camp","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=1fO4ZNPWm5Y","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/1fO4ZNPWm5Y?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDaDdqUEVWRTBSZHZ6OEllTXBoR2pqQQ==","name":"Emre Hoca Mathouse","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Emre+Hoca+Mathouse","origUrl":"http://www.youtube.com/@emrehocamathouse","a11yText":"Emre Hoca Mathouse. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1665,"text":"27:45","a11yText":"Süre 27 dakika 45 saniye","shortText":"27 dk."},"views":{"text":"18,6bin","a11yText":"18,6 bin izleme"},"date":"5 tem 2025","modifyTime":1751673600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/1fO4ZNPWm5Y?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=1fO4ZNPWm5Y","reqid":"1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL","duration":1665},"parentClipId":"426935803319995637","href":"/preview/426935803319995637?parent-reqid=1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL&text=The+Real+Numbers+-+Topic","rawHref":"/video/preview/426935803319995637?parent-reqid=1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL&text=The+Real+Numbers+-+Topic","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"18278630134421287309":{"videoId":"18278630134421287309","title":"\u0007[Real\u0007] \u0007[numbers\u0007] - 1 \u0007[topic\u0007] explanation and question solution tyt mathematics camp","cleanTitle":"Real numbers - 1 topic explanation and question solution tyt mathematics camp","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=VvHhDvwTVRc","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/VvHhDvwTVRc?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDaDdqUEVWRTBSZHZ6OEllTXBoR2pqQQ==","name":"Emre Hoca Mathouse","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Emre+Hoca+Mathouse","origUrl":"http://www.youtube.com/@emrehocamathouse","a11yText":"Emre Hoca Mathouse. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":2623,"text":"43:43","a11yText":"Süre 43 dakika 43 saniye","shortText":"43 dk."},"views":{"text":"46,1bin","a11yText":"46,1 bin izleme"},"date":"3 tem 2025","modifyTime":1751500800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/VvHhDvwTVRc?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=VvHhDvwTVRc","reqid":"1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL","duration":2623},"parentClipId":"18278630134421287309","href":"/preview/18278630134421287309?parent-reqid=1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL&text=The+Real+Numbers+-+Topic","rawHref":"/video/preview/18278630134421287309?parent-reqid=1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL&text=The+Real+Numbers+-+Topic","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"8445986603895608439":{"videoId":"8445986603895608439","title":"\u0007[Real\u0007] \u0007[numbers\u0007] - 3 \u0007[topic\u0007] explanation and question solution tyt mathematics camp","cleanTitle":"Real numbers - 3 topic explanation and question solution tyt mathematics camp","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=sc-x3R1nU6k","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/sc-x3R1nU6k?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDaDdqUEVWRTBSZHZ6OEllTXBoR2pqQQ==","name":"Emre Hoca Mathouse","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Emre+Hoca+Mathouse","origUrl":"http://www.youtube.com/@emrehocamathouse","a11yText":"Emre Hoca Mathouse. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":3059,"text":"50:59","a11yText":"Süre 50 dakika 59 saniye","shortText":"50 dk."},"views":{"text":"15,5bin","a11yText":"15,5 bin izleme"},"date":"15 tem 2025","modifyTime":1752537600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/sc-x3R1nU6k?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=sc-x3R1nU6k","reqid":"1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL","duration":3059},"parentClipId":"8445986603895608439","href":"/preview/8445986603895608439?parent-reqid=1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL&text=The+Real+Numbers+-+Topic","rawHref":"/video/preview/8445986603895608439?parent-reqid=1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL&text=The+Real+Numbers+-+Topic","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"12573071377253269027":{"videoId":"12573071377253269027","title":"\u0007[Real\u0007] \u0007[numbers\u0007] - 10 \u0007[topic\u0007] explanations and question solutions tyt mathematics camp","cleanTitle":"Real numbers - 10 topic explanations and question solutions tyt mathematics camp","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=1-gOsb-0d4c","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/1-gOsb-0d4c?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDaDdqUEVWRTBSZHZ6OEllTXBoR2pqQQ==","name":"Emre Hoca Mathouse","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Emre+Hoca+Mathouse","origUrl":"http://www.youtube.com/@emrehocamathouse","a11yText":"Emre Hoca Mathouse. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":2815,"text":"46:55","a11yText":"Süre 46 dakika 55 saniye","shortText":"46 dk."},"views":{"text":"6,8bin","a11yText":"6,8 bin izleme"},"date":"24 tem 2025","modifyTime":1753315200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/1-gOsb-0d4c?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=1-gOsb-0d4c","reqid":"1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL","duration":2815},"parentClipId":"12573071377253269027","href":"/preview/12573071377253269027?parent-reqid=1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL&text=The+Real+Numbers+-+Topic","rawHref":"/video/preview/12573071377253269027?parent-reqid=1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL&text=The+Real+Numbers+-+Topic","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"6478997002530352941":{"videoId":"6478997002530352941","title":"\u0007[Real\u0007] \u0007[numbers\u0007] - 7 \u0007[topic\u0007] explanation and question solutions tyt mathematics camp","cleanTitle":"Real numbers - 7 topic explanation and question solutions tyt mathematics camp","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=veASCC21dUQ","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/veASCC21dUQ?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDaDdqUEVWRTBSZHZ6OEllTXBoR2pqQQ==","name":"Emre Hoca Mathouse","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Emre+Hoca+Mathouse","origUrl":"http://www.youtube.com/@emrehocamathouse","a11yText":"Emre Hoca Mathouse. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":2290,"text":"38:10","a11yText":"Süre 38 dakika 10 saniye","shortText":"38 dk."},"views":{"text":"8,1bin","a11yText":"8,1 bin izleme"},"date":"21 tem 2025","modifyTime":1753056000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/veASCC21dUQ?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=veASCC21dUQ","reqid":"1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL","duration":2290},"parentClipId":"6478997002530352941","href":"/preview/6478997002530352941?parent-reqid=1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL&text=The+Real+Numbers+-+Topic","rawHref":"/video/preview/6478997002530352941?parent-reqid=1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL&text=The+Real+Numbers+-+Topic","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"461365985180358103":{"videoId":"461365985180358103","title":"\u0007[The\u0007] \u0007[Real\u0007] \u0007[Numbers\u0007]","cleanTitle":"The Real Numbers","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=g64RZmgzXmI","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/g64RZmgzXmI?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDdTVjZ19KZDlYU0pMX0NIVXNrZ2tHdw==","name":"Elliot Nicholson","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Elliot+Nicholson","origUrl":"http://www.youtube.com/@elliotnicholson5117","a11yText":"Elliot Nicholson. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":3712,"text":"1:01:52","a11yText":"Süre 1 saat 1 dakika 52 saniye","shortText":"1 sa. 1 dk."},"views":{"text":"4,3bin","a11yText":"4,3 bin izleme"},"date":"31 ağu 2020","modifyTime":1598887884000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/g64RZmgzXmI?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=g64RZmgzXmI","reqid":"1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL","duration":3712},"parentClipId":"461365985180358103","href":"/preview/461365985180358103?parent-reqid=1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL&text=The+Real+Numbers+-+Topic","rawHref":"/video/preview/461365985180358103?parent-reqid=1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL&text=The+Real+Numbers+-+Topic","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"16869968865770808810":{"videoId":"16869968865770808810","title":"Class 10 \u0007[REAL\u0007] \u0007[Numbers\u0007] (Chapter 1) Part 1 (\u0007[Topic\u0007]:-\u0007[Number\u0007] System)","cleanTitle":"Class 10 REAL Numbers (Chapter 1) Part 1 (Topic:-Number System)","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=E7ZJ4XlPgdg","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/E7ZJ4XlPgdg?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDR00zYmZBRnBPTGpyLW1kZWhWZkNZQQ==","name":"Vansham Institute","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Vansham+Institute","origUrl":"http://www.youtube.com/@vanshaminstitute1434","a11yText":"Vansham Institute. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1011,"text":"16:51","a11yText":"Süre 16 dakika 51 saniye","shortText":"16 dk."},"date":"9 nis 2020","modifyTime":1586390400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/E7ZJ4XlPgdg?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=E7ZJ4XlPgdg","reqid":"1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL","duration":1011},"parentClipId":"16869968865770808810","href":"/preview/16869968865770808810?parent-reqid=1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL&text=The+Real+Numbers+-+Topic","rawHref":"/video/preview/16869968865770808810?parent-reqid=1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL&text=The+Real+Numbers+-+Topic","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"7576687846820919495":{"videoId":"7576687846820919495","title":"Chapter 1 : \u0007[Real\u0007] \u0007[Numbers\u0007], \u0007[Topic\u0007] : Exercise 1.3, #Class10, #Ncert, #Math","cleanTitle":"Chapter 1 : Real Numbers, Topic : Exercise 1.3, #Class10, #Ncert, #Math","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=SmKlZni3Wu0","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/SmKlZni3Wu0?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDc1BhMmZRdS1KdXFWU3AzaFJTa3hzQQ==","name":"BVST","isVerified":false,"subscribersCount":0,"url":"/video/search?text=BVST","origUrl":"http://www.youtube.com/@BVST","a11yText":"BVST. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":846,"text":"14:06","a11yText":"Süre 14 dakika 6 saniye","shortText":"14 dk."},"date":"9 tem 2022","modifyTime":1657324800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/SmKlZni3Wu0?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=SmKlZni3Wu0","reqid":"1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL","duration":846},"parentClipId":"7576687846820919495","href":"/preview/7576687846820919495?parent-reqid=1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL&text=The+Real+Numbers+-+Topic","rawHref":"/video/preview/7576687846820919495?parent-reqid=1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL&text=The+Real+Numbers+-+Topic","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"12490249129113027370":{"videoId":"12490249129113027370","title":"Chapter 1 : \u0007[Real\u0007] \u0007[Numbers\u0007], \u0007[Topic\u0007] : Decimal Expansions of \u0007[Real\u0007] \u0007[Number\u0007], #Class10, #...","cleanTitle":"Chapter 1 : Real Numbers, Topic : Decimal Expansions of Real Number, #Class10, #Ncert, #Math","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=Kms_1CG2DiQ","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/Kms_1CG2DiQ?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDc1BhMmZRdS1KdXFWU3AzaFJTa3hzQQ==","name":"BVST","isVerified":false,"subscribersCount":0,"url":"/video/search?text=BVST","origUrl":"http://www.youtube.com/@BVST","a11yText":"BVST. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1016,"text":"16:56","a11yText":"Süre 16 dakika 56 saniye","shortText":"16 dk."},"date":"9 tem 2022","modifyTime":1657324800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/Kms_1CG2DiQ?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=Kms_1CG2DiQ","reqid":"1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL","duration":1016},"parentClipId":"12490249129113027370","href":"/preview/12490249129113027370?parent-reqid=1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL&text=The+Real+Numbers+-+Topic","rawHref":"/video/preview/12490249129113027370?parent-reqid=1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL&text=The+Real+Numbers+-+Topic","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"17589800317966250982":{"videoId":"17589800317966250982","title":"What Are \u0007[The\u0007] \u0007[Real\u0007] \u0007[Numbers\u0007]?","cleanTitle":"What Are The Real Numbers?","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=id2rTw-5VL0","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/id2rTw-5VL0?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDZ2xOWHpCbzZibUtjOW90S2YtT3VHUQ==","name":"TabletClass Math","isVerified":false,"subscribersCount":0,"url":"/video/search?text=TabletClass+Math","origUrl":"http://www.youtube.com/@tabletclass","a11yText":"TabletClass Math. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":296,"text":"4:56","a11yText":"Süre 4 dakika 56 saniye","shortText":"4 dk."},"views":{"text":"34,6bin","a11yText":"34,6 bin izleme"},"date":"18 ağu 2011","modifyTime":1313625600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/id2rTw-5VL0?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=id2rTw-5VL0","reqid":"1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL","duration":296},"parentClipId":"17589800317966250982","href":"/preview/17589800317966250982?parent-reqid=1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL&text=The+Real+Numbers+-+Topic","rawHref":"/video/preview/17589800317966250982?parent-reqid=1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL&text=The+Real+Numbers+-+Topic","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"17071269543983359173":{"videoId":"17071269543983359173","title":"What are \u0007[Real\u0007] \u0007[Numbers\u0007]?","cleanTitle":"What are Real Numbers?","host":{"title":"YouTube","href":"http://www.youtube.com/live/MDRId11k6gM","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/MDRId11k6gM?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDZUFuclVLY3hGR3JNWGZIZ2owZU1qZw==","name":"Manocha Academy","isVerified":true,"subscribersCount":0,"url":"/video/search?text=Manocha+Academy","origUrl":"http://www.youtube.com/@ManochaAcademy","a11yText":"Manocha Academy. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":2456,"text":"40:56","a11yText":"Süre 40 dakika 56 saniye","shortText":"40 dk."},"views":{"text":"32,9bin","a11yText":"32,9 bin izleme"},"date":"25 nis 2023","modifyTime":1682380800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/MDRId11k6gM?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=MDRId11k6gM","reqid":"1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL","duration":2456},"parentClipId":"17071269543983359173","href":"/preview/17071269543983359173?parent-reqid=1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL&text=The+Real+Numbers+-+Topic","rawHref":"/video/preview/17071269543983359173?parent-reqid=1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL&text=The+Real+Numbers+-+Topic","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"996784584839803033":{"videoId":"996784584839803033","title":"What is a \u0007[real\u0007] \u0007[number\u0007] and what are the subsets of \u0007[real\u0007] \u0007[numbers\u0007]? | Common Core Algeb...","cleanTitle":"What is a real number and what are the subsets of real numbers? | Common Core Algebra","host":{"title":"YouTube","href":"http://www.youtube.com/v/tC7NkH5xwBM","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/tC7NkH5xwBM?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDdEJ0Y1FKOF9qc3JqUHpiOGkxdE9zQQ==","name":"Mashup Math","isVerified":true,"subscribersCount":0,"url":"/video/search?text=Mashup+Math","origUrl":"http://www.youtube.com/channel/UCtBtcQJ8_jsrjPzb8i1tOsA","a11yText":"Mashup Math. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":176,"text":"2:56","a11yText":"Süre 2 dakika 56 saniye","shortText":"2 dk."},"views":{"text":"419,9bin","a11yText":"419,9 bin izleme"},"date":"30 ağu 2015","modifyTime":1440892800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/tC7NkH5xwBM?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=tC7NkH5xwBM","reqid":"1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL","duration":176},"parentClipId":"996784584839803033","href":"/preview/996784584839803033?parent-reqid=1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL&text=The+Real+Numbers+-+Topic","rawHref":"/video/preview/996784584839803033?parent-reqid=1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL&text=The+Real+Numbers+-+Topic","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"15703873355094964597":{"videoId":"15703873355094964597","title":"Introduction to \u0007[Real\u0007] \u0007[Numbers\u0007] | What are \u0007[Real\u0007] \u0007[Numbers\u0007] | Education | Letstute","cleanTitle":"Introduction to Real Numbers | What are Real Numbers | Education | Letstute","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=XJM8isU_wVk","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/XJM8isU_wVk?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDVDJPWUdMdE95eXVpXzlNR3JuZnl6QQ==","name":"Let'stute","isVerified":true,"subscribersCount":0,"url":"/video/search?text=Let%27stute","origUrl":"http://www.youtube.com/@Letstute","a11yText":"Let'stute. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":293,"text":"4:53","a11yText":"Süre 4 dakika 53 saniye","shortText":"4 dk."},"views":{"text":"2,4bin","a11yText":"2,4 bin izleme"},"date":"20 oca 2022","modifyTime":1642636800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/XJM8isU_wVk?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=XJM8isU_wVk","reqid":"1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL","duration":293},"parentClipId":"15703873355094964597","href":"/preview/15703873355094964597?parent-reqid=1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL&text=The+Real+Numbers+-+Topic","rawHref":"/video/preview/15703873355094964597?parent-reqid=1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL&text=The+Real+Numbers+-+Topic","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"13387970390743468328":{"videoId":"13387970390743468328","title":"\u0007[Real\u0007] \u0007[Numbers\u0007] - Chapter Overview and Introduction | Class 10 Maths Chapter 1 | CBSE 2024-25","cleanTitle":"Real Numbers - Chapter Overview and Introduction | Class 10 Maths Chapter 1 | CBSE 2024-25","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=veHqtzdg4g8","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/veHqtzdg4g8?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDM0hTNmdRNzlqam40eEh4b2d3MEhpQQ==","name":"Magnet Brains","isVerified":true,"subscribersCount":0,"url":"/video/search?text=Magnet+Brains","origUrl":"http://www.youtube.com/@MagnetBrainsEducation","a11yText":"Magnet Brains. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":4443,"text":"1:14:03","a11yText":"Süre 1 saat 14 dakika 3 saniye","shortText":"1 sa. 14 dk."},"views":{"text":"45,5bin","a11yText":"45,5 bin izleme"},"date":"25 nis 2024","modifyTime":1714041908000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/veHqtzdg4g8?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=veHqtzdg4g8","reqid":"1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL","duration":4443},"parentClipId":"13387970390743468328","href":"/preview/13387970390743468328?parent-reqid=1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL&text=The+Real+Numbers+-+Topic","rawHref":"/video/preview/13387970390743468328?parent-reqid=1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL&text=The+Real+Numbers+-+Topic","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"14055280026505266847":{"videoId":"14055280026505266847","title":"Exercise 2.1 Introduction \u0007[Real\u0007] \u0007[Numbers\u0007] Mathematics - Math Ch 2 \u0007[Real\u0007] \u0007[Numbers\u0007] Mathemat...","cleanTitle":"Exercise 2.1 Introduction Real Numbers Mathematics - Math Ch 2 Real Numbers Mathematics - 9th Class","host":{"title":"YouTube","href":"http://www.youtube.com/live/iNpfsFegCg4","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/iNpfsFegCg4?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDcGxNdGl4Wko2cFJjck1vZ0JTWXZ1UQ==","name":"ilmkidunya","isVerified":true,"subscribersCount":0,"url":"/video/search?text=ilmkidunya","origUrl":"http://www.youtube.com/@ilmkidunyaofficial","a11yText":"ilmkidunya. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1492,"text":"24:52","a11yText":"Süre 24 dakika 52 saniye","shortText":"24 dk."},"views":{"text":"274,9bin","a11yText":"274,9 bin izleme"},"date":"12 mayıs 2017","modifyTime":1494547200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/iNpfsFegCg4?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=iNpfsFegCg4","reqid":"1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL","duration":1492},"parentClipId":"14055280026505266847","href":"/preview/14055280026505266847?parent-reqid=1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL&text=The+Real+Numbers+-+Topic","rawHref":"/video/preview/14055280026505266847?parent-reqid=1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL&text=The+Real+Numbers+-+Topic","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"14895859367404493485":{"videoId":"14895859367404493485","title":"\u0007[Real\u0007] \u0007[numbers\u0007] part 1","cleanTitle":"Real numbers part 1","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=CBG7iriEaXI","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/CBG7iriEaXI?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDSjdRc2NtUnVCWlJWUkZQZjVCUnMtdw==","name":"Enhance Learning","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Enhance+Learning","origUrl":"http://www.youtube.com/@enhancelearning5550","a11yText":"Enhance Learning. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":603,"text":"10:03","a11yText":"Süre 10 dakika 3 saniye","shortText":"10 dk."},"date":"29 haz 2020","modifyTime":1593452351000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/CBG7iriEaXI?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=CBG7iriEaXI","reqid":"1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL","duration":603},"parentClipId":"14895859367404493485","href":"/preview/14895859367404493485?parent-reqid=1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL&text=The+Real+Numbers+-+Topic","rawHref":"/video/preview/14895859367404493485?parent-reqid=1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL&text=The+Real+Numbers+-+Topic","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"2970171038860985058":{"videoId":"2970171038860985058","title":"\u0007[Real\u0007] \u0007[Numbers\u0007] Tutorial","cleanTitle":"Real Numbers Tutorial","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=6Mbdh_LQEUA","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/6Mbdh_LQEUA?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDUTFvWUFiazJObmlGOVVIZUlUaGkzZw==","name":"tinambMATH Sensei","isVerified":false,"subscribersCount":0,"url":"/video/search?text=tinambMATH+Sensei","origUrl":"http://www.youtube.com/@tinambmathsensei5017","a11yText":"tinambMATH Sensei. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":393,"text":"6:33","a11yText":"Süre 6 dakika 33 saniye","shortText":"6 dk."},"date":"2 ağu 2020","modifyTime":1596326400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/6Mbdh_LQEUA?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=6Mbdh_LQEUA","reqid":"1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL","duration":393},"parentClipId":"2970171038860985058","href":"/preview/2970171038860985058?parent-reqid=1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL&text=The+Real+Numbers+-+Topic","rawHref":"/video/preview/2970171038860985058?parent-reqid=1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL&text=The+Real+Numbers+-+Topic","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"14326302130228931125":{"videoId":"14326302130228931125","title":"\u0007[Real\u0007] \u0007[Numbers\u0007]","cleanTitle":"Real Numbers","host":{"title":"YouTube","href":"http://www.youtube.com/live/VEY08fMYmEU","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/VEY08fMYmEU?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDRVdwYkZMem9ZR1BmdVdVTUZQU2FvQQ==","name":"The Organic Chemistry Tutor","isVerified":true,"subscribersCount":0,"url":"/video/search?text=The+Organic+Chemistry+Tutor","origUrl":"http://www.youtube.com/@TheOrganicChemistryTutor","a11yText":"The Organic Chemistry Tutor. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1485,"text":"24:45","a11yText":"Süre 24 dakika 45 saniye","shortText":"24 dk."},"views":{"text":"397,3bin","a11yText":"397,3 bin izleme"},"date":"23 ağu 2021","modifyTime":1629722123000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/VEY08fMYmEU?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=VEY08fMYmEU","reqid":"1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL","duration":1485},"parentClipId":"14326302130228931125","href":"/preview/14326302130228931125?parent-reqid=1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL&text=The+Real+Numbers+-+Topic","rawHref":"/video/preview/14326302130228931125?parent-reqid=1769649384598605-11830881222771228758-balancer-l7leveler-kubr-yp-vla-138-BAL&text=The+Real+Numbers+-+Topic","isEmbedOnly":false,"shouldPlayInstreamPreroll":false}}},"viewer":{"_isInitial":false,"clips":{"items":{},"dups":{},"loadingStatus":"None"},"internal":{"videoId":"","sandboxEventPrefix":"sandbox:","sandboxVersion":"0x001cd987dbd","isEmbedded":false,"from":"yavideo","service":"ya-video","hbPeriod":30,"table":"video_tech","isInstreamDisabled":false,"nonce":"8308812227712287587138","errorList":[],"isAdultAdv":false,"isImportantCommonAdv":false,"shouldShowAdvId":false,"advConfig":{"under-player":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"under-player-lite":{"regular":{"default":"R-I-48058-728"},"adult":{"default":"R-I-474674-103"}},"under-player-old":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"video-list":{"regular":{"default":"R-I-48058-708","mail":"R-A-13411721-2"},"adult":{"default":"R-I-474674-101","mail":"R-A-13426421-2"}},"search-list":{"adult":{"default":"R-I-474674-135","mail":"R-A-13426421-23"},"regular":{"default":"R-I-48058-751","mail":"R-A-13411721-23"}},"search-grid-row":{"regular":{"default":"R-I-48058-718","mail":"R-A-13411721-4"},"adult":{"default":"R-I-474674-109","mail":"R-A-13426421-4"}},"search-grid-head":{"regular":{"default":"R-I-2120168-7"}},"search-list-right":{"regular":{"default":"R-I-8843654-1"}},"before-player-old":{"regular":{"default":"R-I-2120168-1"}},"before-player":{"regular":{"default":"R-I-2120168-1"}},"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"shouldValidateSandbox":false,"sandboxInitTimeout":15000,"isSSROnlyMastheadEnabled":true,"query":"The Real Numbers - Topic","queryUriEscaped":"The%20Real%20Numbers%20-%20Topic","filterMode":1,"isUserChild":false,"advInstreamConfig":{"regular":{"default":{"category":"2","impId":"7","partnerId":"2216089","vmapScenarioId":"119"}},"adult":{"default":{"category":"3","impId":"4","partnerId":"1988486","vmapScenarioId":"119"}}}},"playbackQueue":{"currentIndex":0,"items":[]},"related":{"items":[],"pages":[],"loadingStatus":"None","nextPageNum":0,"ncrnd":0},"playlist":{"items":{}},"delayedViews":{"ids":[],"loadingStatus":"None"}}}