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İndeks Akademi ailesi olarak, sınav...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3286314/234bb32ee7944e19f521e8feba4c76d1/564x318_1"},"target":"_self","position":"2","reqid":"1769666921844781-3531491559884873238-balancer-l7leveler-kubr-yp-sas-157-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DW1d3Opj3_Fg","linkTemplate":"/video/preview/5936323312433512105?parent-reqid=1769666921844781-3531491559884873238-balancer-l7leveler-kubr-yp-sas-157-BAL&text=Kode+Akademi&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"11- 2025 KPSS -ÖYT - Öğrenme - Öğretme Kuramları - VII ( Proje Tabanlı Öğrenme ) Zeynep Salman İÇLİ","related_orig_text":"Kode Akademi","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Kode Akademi\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=W1d3Opj3_Fg\",\"src\":\"serp\",\"rvb\":\"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__X-AgDs_fb9BAABAO36Aw38AAAAAOoB_QIE_gD18An8_gAAAAH8-P__AAAAAwH5BfL-AQARBwEM9QAAAATvDQD8AAAA-Ab5AP4BAAABB__3AwAAABIKCAH_AAAABw3_APn_AAH_BfYDAAAAAPXvDAcAAAAAIAAtHT3WOzgTQAlITlACKnMQABpgPPUATPrtA73G9-cg3TMe493A8v_OG_8h5QCsIgrF7xD20f0j_1ziFh2fAAAAOxDj-kMA8H_xCuwx7QocrKPa1wpeCBMnyyTh0PPU99MTJwokvtlbAPbvu-Udk7ofKSj9IAAtP84VOzgTQAlIb1ACKq8GEAwaoAYAAMBAAADIQQAAFEIAAGBCAABgwQAAMMEAAJjBAAAwwQAAnkIAAFjCAACAPwAAQEEAAEDCAAAgwQAApEIAAMDCAAAQQQAAoMEAAIC_AAAAAAAAmEEAABBBAADgwAAANEIAAMBBAADwQQAAuMIAAODBAAD4QgAASEIAANBBAABgQgAAhsIAABDBAADYwQAAiEEAAHDBAADmQgAAgMIAAIBAAACSQgAAsMEAAKDAAAAgQgAAfEIAAGzCAAAwwQAAgEEAALZCAAAoQgAAyMEAAOjBAADgwAAAAEAAANhBAADaQgAAmMEAAPDBAACGwgAAYEIAACRCAABgwgAACMIAAFDBAACYQQAAqkIAAIJCAAAgwgAApsIAAKDAAAAUQgAAMEEAAGTCAACgQAAAcEEAAMbCAACgwQAAgEAAANhBAACGwgAAfMIAANjBAAAkQgAAIEIAAHDCAAAIQgAAgMAAAKTCAAAIQgAAmMEAADDBAACgwAAAGMIAAGTCAABAwAAAGMIAAOBBAADoQQAAoMAAABDCAACowQAAmEIAAMBBAACQwQAAxMIAAPBBAACWQgAAoEEAAIjBAACwQQAA6EEAAJBBAAAEwgAAoMEAAFBCAAAUwgAAEMEAADTCAADIwQAAiEEAAODAAACYQQAAEMEAAGBBAACgQgAAuEEAANhBAAAwwQAAKMIAAEBBAAAEwgAAIMIAAODAAABsQgAAOMIAABBBAAAwQQAAiMEAAIBAAABcwgAAEEEAAIhBAACQwQAAgL8AABTCAABoQgAAkEEAACDCAACwwQAADEIAAATCAACowQAAAEAAAMjBAACowQAAwMAAABDCAAAMwgAA0EEAANhCAADwwQAAoMEAAMBAAAAMwgAAoMAAANhBAAB0QgAABEIAAAxCAACgQQAAyMEAAGBBAACgwAAA4MAAACBBAAAAwAAAwMEAAIBAAABUQgAAQMAAAGBBAABAwQAAgMAAAOjBAADgQQAAAMIAABjCAABMQgAAXMIAALBBAAAEwgAAEEIAAFDBAABQwQAA2EEAAABAAACgwAAAAAAAAEDCAACIwSAAOBNACUh1UAEqjwIQABqAAgAANL4AABw-AAAcPgAAHL4AADA9AABMPgAALD4AAPa-AABsvgAAjj4AAOi9AADgPAAAPD4AAEC8AABQvQAAJL4AAMg9AACAuwAAuj4AAMo-AAB_PwAALD4AAEw-AAA8PgAARD4AAFS-AACAOwAAuD0AACQ-AAAQPQAAQDwAAFC9AAAfPwAABL4AAFw-AADovQAAyD0AAEy-AADCvgAALL4AAOA8AACoPQAAQLwAAJq-AAAkPgAAgDsAAFQ-AABMvgAALL4AAK6-AACuPgAA6L0AAEw-AAC4PQAALL4AAKA8AADePgAAoj4AAIi9AACIPQAAoDwAAIC7AABAPAAAQDwgADgTQAlIfFABKo8CEAEagAIAAMi9AABAPAAAQLwAAEO_AADgPAAADD4AAKY-AADovQAAgr4AANg9AACgvAAAJL4AALa-AAB0vgAAMD0AABA9AABwPQAAHT8AALi9AACiPgAAHD4AALi9AAA8vgAA4LwAABC9AAAEvgAAFL4AAIC7AACgPAAAMD0AABA9AACoPQAA4LwAAK6-AABQvQAAFD4AAIC7AADovQAATL4AAHC9AADoPQAAUL0AAKg9AABQvQAAgDsAAGQ-AAB_vwAANL4AACw-AAAwPQAABD4AAOA8AAAwvQAAiL0AAHC9AABwPQAAQLwAAEw-AADYPQAAHD4AADA9AABQvQAAmD0AADw-IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=W1d3Opj3_Fg","parent-reqid":"1769666921844781-3531491559884873238-balancer-l7leveler-kubr-yp-sas-157-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["5936323312433512105"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"417410654020024744":{"videoId":"417410654020024744","docid":"34-7-10-Z1256627ED9841821","description":"Arı 8.Sınıf Atölyem S.107-108 Ondalik Gösterimlerin Karekökü ile devam ediyoruz. Arı Matematik Atölyem soru bankasının ayrıntılı bir şekilde çözümlerini bulabileceğiniz, takıldığınız yerde...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1678059/9507101fc66398e7b49b308ca366b7d9/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/PR8dOAIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"3","reqid":"1769666921844781-3531491559884873238-balancer-l7leveler-kubr-yp-sas-157-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769666921844781-3531491559884873238-balancer-l7leveler-kubr-yp-sas-157-BAL&text=videoid:417410654020024744","teaser":[{"list":{"type":"unordered","items":["Bu video, bir öğretmenin Arı Yayınlar Atölyesi kitabından ondalık gösterimlerin karekökü konusunu anlattığı eğitim içeriğidir.","Videoda ondalık gösterimlerin kareköklerinin nasıl bulunacağı adım adım gösterilmektedir. Öğretmen, ondalık kesirlerin rasyonel sayıya çevrilmesi, karekök alınması, alan ve çevre hesaplamaları, kesirlerle toplama, çıkarma ve bölme işlemleri gibi konuları örneklerle açıklamaktadır. Video, bir karekök problemi çözümüyle devam ederek 12 bölü 10 binde 9'un karekök içinde 9 bölü 10 olarak yazılması ve işlem sonucunun 400 olarak bulunması şeklinde ilerlemektedir.","Video, öğrencilere ondalık gösterimlerin karekökleriyle ilgili problemleri çözme becerilerini geliştirmeleri için hazırlanmış bir eğitim kaynağıdır ve \"bir sonraki dersimizde görüşmek üzere\" ifadesiyle sona ermektedir."]},"endTime":936,"title":"Ondalık Gösterimlerin Karekökü Matematik Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Ondalık Gösterimlerin Karekökü","list":{"type":"unordered","items":["Arı Yayınlar Atölyem kitabında ondalık gösterimlerin karekökü konusu ele alınıyor.","Ondalık gösterimin karekökleri bulunurken, karekök içindeki ondalık gösterimler rasyonel sayıya (kesre) çevrilir.","Daha sonra pay ve paydanın ayrı ayrı karekökleri alınır."]},"beginTime":9,"endTime":54,"href":"/video/preview/417410654020024744?parent-reqid=1769666921844781-3531491559884873238-balancer-l7leveler-kubr-yp-sas-157-BAL&text=Kode+Akademi&t=9&ask_summarization=1"},{"index":1,"title":"Örneklerle Ondalık Gösterimlerin Karekökü","list":{"type":"unordered","items":["0,16'nın karekökü 4/10 = 0,4 olarak bulunur.","0,1'in karekökü 1/10 = 0,1 olarak bulunur.","0,4'ün karekökü 2/10 = 0,2 olarak bulunur.","0,64'ün karekökü 8/10 = 0,8 olarak bulunur.","1,21'in karekökü 11/100 = 0,11 olarak bulunur.","2,89'un karekökü 17/100 = 0,17 olarak bulunur."]},"beginTime":54,"endTime":140,"href":"/video/preview/417410654020024744?parent-reqid=1769666921844781-3531491559884873238-balancer-l7leveler-kubr-yp-sas-157-BAL&text=Kode+Akademi&t=54&ask_summarization=1"},{"index":2,"title":"Ondalık Gösterimlerin Karekökü Problemleri","list":{"type":"unordered","items":["0,001'in karekökü 1/10000 = 0,001 olarak bulunur.","-0,81'in karekökü 1/10000 = -0,01 olarak bulunur.","0,441'in karekökü 21/1000 = 0,021 olarak bulunur.","0,625'in karekökü 25/1000 = 0,025 olarak bulunur."]},"beginTime":140,"endTime":227,"href":"/video/preview/417410654020024744?parent-reqid=1769666921844781-3531491559884873238-balancer-l7leveler-kubr-yp-sas-157-BAL&text=Kode+Akademi&t=140&ask_summarization=1"},{"index":3,"title":"Alan ve Çevre Problemleri","list":{"type":"unordered","items":["Alanı 0,09 olan karesel bölgenin bir kenarı 3/10 = 0,3 birimdir ve çevre uzunluğu 4×0,3 = 0,12 birimdir.","Alanı 0,44 olan karesel bölgenin bir kenarı 12/10 = 0,12 birimdir ve çevre uzunluğu 4×0,12 = 0,44 birimdir.","Alanı 0,61 olan karesel bölgenin bir kenarı 19/10 = 0,19 birimdir ve çevre uzunluğu 4×0,19 = 0,78 birimdir.","Alanı 0,016 birim kare olan karesel bölgenin bir kenarı 4/1000 = 0,04 birimdir ve çevre uzunluğu 4×0,04 = 0,16 birimdir."]},"beginTime":227,"endTime":416,"href":"/video/preview/417410654020024744?parent-reqid=1769666921844781-3531491559884873238-balancer-l7leveler-kubr-yp-sas-157-BAL&text=Kode+Akademi&t=227&ask_summarization=1"},{"index":4,"title":"Ondalık Gösterimlerle İşlemler","list":{"type":"unordered","items":["0,1 + 0,9 = 4/10 = 0,4 olarak bulunur.","0,16 = 4/10 - 0,9 = 5/10 = 0,5 olarak bulunur.","0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 - 0,01 = 0,09 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2026 AGS - Sayısal Matematik - Köklü Sayılar - I Metin Şimşek 📖 Köklü sayıların temel kurallarını öğren, sağlam bir başlangıç yap! 🧠 Konuyu pekiştirerek sınava hazırlığını güçlendir. 🎯 AGS...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4801588/a295cbd9bae4cf6a548bec391170cdcc/564x318_1"},"target":"_self","position":"5","reqid":"1769666921844781-3531491559884873238-balancer-l7leveler-kubr-yp-sas-157-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769666921844781-3531491559884873238-balancer-l7leveler-kubr-yp-sas-157-BAL&text=videoid:7118400444598194079","teaser":[{"list":{"type":"unordered","items":["Bu video, İndeks Akademi stüdyolarında 2006 yılından beri deneyimli bir matematik öğretmeninin köklü sayılar konusunu anlattığı bir eğitim içeriğidir.","Video, köklü sayıların temel tanımlarından başlayarak, kök dışına çıkarma yöntemlerini, köklü sayılarda dört işlem (toplama, çıkarma, çarpma, bölme) ve sadeleştirme işlemlerini detaylı şekilde ele almaktadır. Öğretmen, tahtada örnekler göstererek konuyu adım adım açıklamakta ve ÖSYM sınavlarında çıkabilecek soruların çözümüne yönelik rehberlik etmektedir.","Video özellikle yeni başlayanlar için hazırlanmış olup, kök içindeki sayıların aynı olması gerektiği, köklü sayıların tek bir kök içinde nasıl yazılacağı gibi temel bilgiler verilmektedir. Ayrıca, köklü sayılarla ilgili soruların çoğunlukla dört işlem soruları olduğu belirtilmektedir."]},"endTime":1481,"title":"Köklü Sayılar Eğitim Videosu","beginTime":0}],"fullResult":[{"index":0,"title":"Köklü Sayılar Konusuna Giriş","list":{"type":"unordered","items":["Köklü sayılar, işlem becerilerini sonlandırmanın son durağıdır ve matematik potansiyelini ortaya çıkarmak için önemlidir.","ÖSYM, köklü sayılarda ağırlıklı olarak toplama, çıkartma, çarpma ve bölme işlemlerini içeren dört işlem soruları sorar.","Köklü sayıların özelliklerini bilmek zorunludur."]},"beginTime":6,"endTime":108,"href":"/video/preview/7118400444598194079?parent-reqid=1769666921844781-3531491559884873238-balancer-l7leveler-kubr-yp-sas-157-BAL&text=Kode+Akademi&t=6&ask_summarization=1"},{"index":1,"title":"Köklü Sayıların Tanımı","list":{"type":"unordered","items":["Köklü sayı, n en büyük tam sayı olmak üzere, n'nin n. kuvvetinden köküdür.","Kökün derecesi iki ise kök yazılmaz, bu durumda karekök olarak adlandırılır.","Kökün derecesi üç olduğunda küp kök olarak adlandırılır."]},"beginTime":108,"endTime":207,"href":"/video/preview/7118400444598194079?parent-reqid=1769666921844781-3531491559884873238-balancer-l7leveler-kubr-yp-sas-157-BAL&text=Kode+Akademi&t=108&ask_summarization=1"},{"index":2,"title":"Köklü Sayıların Özellikleri","list":{"type":"unordered","items":["Kök içindeki bir sayıyı kök dışına çıkarmak için belli sayıların karesini bilmek gerekir.","Kökün derecesi yazılmamışsa, kökün derecesi iki olarak kabul edilir.","Kök içindeki sayı, kökün derecesiyle aynı olan sayıların kareleri ile çarpılırsa, kök dışına çıkarılabilir."]},"beginTime":207,"endTime":237,"href":"/video/preview/7118400444598194079?parent-reqid=1769666921844781-3531491559884873238-balancer-l7leveler-kubr-yp-sas-157-BAL&text=Kode+Akademi&t=207&ask_summarization=1"},{"index":3,"title":"Köklü Sayıların Örnekleri","list":{"type":"unordered","items":["1² = 1, 4² = 16, 9² = 81, 16² = 256, 16² = 360, 12² = 144, 13² = 169, 14² = 196, 15² = 225 gibi sayıların kareleri bilinmelidir.","Küp kök içindeki sayılar, küp kök dışına çıkarılabilir.","Kök içindeki sayı, kökün derecesiyle aynı olan sayıların kareleri ile çarpılırsa, kök dışına çıkarılabilir, aksi takdirde kök içinde kalır."]},"beginTime":237,"endTime":658,"href":"/video/preview/7118400444598194079?parent-reqid=1769666921844781-3531491559884873238-balancer-l7leveler-kubr-yp-sas-157-BAL&text=Kode+Akademi&t=237&ask_summarization=1"},{"index":4,"title":"Köklü Sayılarda Dört İşlem","list":{"type":"unordered","items":["Köklü sayılarda toplama ve çıkarma yapabilmek için kökün içindeki sayının aynı olması ve kök derecelerinin aynı olup ortak paranteze alınması gerekir.","Çarpma ve bölme işlemi yapabilmek için sadece köklerin derecelerinin eşit olması yeterlidir.","Kökün içindeki sayı ve derecesi aynıysa, kök dışına çıkartma işlemi yapılabilir."]},"beginTime":663,"endTime":732,"href":"/video/preview/7118400444598194079?parent-reqid=1769666921844781-3531491559884873238-balancer-l7leveler-kubr-yp-sas-157-BAL&text=Kode+Akademi&t=663&ask_summarization=1"},{"index":5,"title":"Köklü Sayılarda Toplama ve Çıkarma Örnekleri","list":{"type":"unordered","items":["Kök içindeki sayı aynı değilse, benzetme yöntemiyle işlem yapılabilir (örneğin 2√5 + 7√5 - 4√5 = 5√5).","Köklü sayılarda toplama ve çıkarma yapabilmek için kökün içindeki sayının aynı olması gerekir.","Köklü sayılarda toplama ve çıkarma yaparken, kök dışına çıkartma işlemi yapılabilir."]},"beginTime":732,"endTime":762,"href":"/video/preview/7118400444598194079?parent-reqid=1769666921844781-3531491559884873238-balancer-l7leveler-kubr-yp-sas-157-BAL&text=Kode+Akademi&t=732&ask_summarization=1"},{"index":6,"title":"Köklü Sayılarda Çarpma ve Bölme","list":{"type":"unordered","items":["Çarpma yapabilmek için kökün derecesi aynıysa, tek bir kök içinde sayılar çarpılabilir.","Bölme işlemi yaparken de kökün içindeki sayıyı dikkate alarak tek bir kök içinde yazılabilir, ancak köklerin derecelerinin aynı olması gerekir.","Köklü sayılarda işlem yaparken, kök dışına çıkartma işlemi yapılabilir."]},"beginTime":762,"endTime":801,"href":"/video/preview/7118400444598194079?parent-reqid=1769666921844781-3531491559884873238-balancer-l7leveler-kubr-yp-sas-157-BAL&text=Kode+Akademi&t=762&ask_summarization=1"},{"index":7,"title":"Örnek Sorular","list":{"type":"unordered","items":["Köklü sayılarda toplama ve çıkarma yapabilmek için kökün içindeki sayının aynı olması gerekir.","Köklü sayılarda işlem yaparken, kök dışına çıkartma işlemi yapılabilir.","Köklü sayılarda işlem yaparken, rasyonel sayı gibi düşünülerek sadeleştirme yapılabilir."]},"beginTime":801,"endTime":986,"href":"/video/preview/7118400444598194079?parent-reqid=1769666921844781-3531491559884873238-balancer-l7leveler-kubr-yp-sas-157-BAL&text=Kode+Akademi&t=801&ask_summarization=1"},{"index":8,"title":"Gelecek Konular","list":{"type":"unordered","items":["Köklü sayılarda dört işlemle ilgili sorular çözülecek ve çıkmış sorularla çalışılacak.","Eşlenlik, Descartes ve köklü sayıların üsse dönüşmesi konuları da anlatılacak.","Köklü sayılarda her yıl banko bir soru çıkıyor ve bu konu cebe konulacak."]},"beginTime":986,"endTime":1074,"href":"/video/preview/7118400444598194079?parent-reqid=1769666921844781-3531491559884873238-balancer-l7leveler-kubr-yp-sas-157-BAL&text=Kode+Akademi&t=986&ask_summarization=1"},{"index":9,"title":"Köklü Sayılarla İşlemler","list":{"type":"unordered","items":["Öğretmen, öğrencilerin uyumadan dikkatli dinlemelerini istiyor.","Köklü sayılarla bölme işlemi gösteriliyor: 64/15 işleminde 64 dışarı 8, 15 dışarı 3 olarak çıkıyor ve sonuç 7/8 olarak bulunuyor.","Köklü sayılarla toplama işlemi gösteriliyor: 4√3 + 3√3 - 4√3 işleminde sonuç 7√3 olarak bulunuyor."]},"beginTime":1095,"endTime":1230,"href":"/video/preview/7118400444598194079?parent-reqid=1769666921844781-3531491559884873238-balancer-l7leveler-kubr-yp-sas-157-BAL&text=Kode+Akademi&t=1095&ask_summarization=1"},{"index":10,"title":"Köklü Sayılarla Çarpma ve Bölme","list":{"type":"unordered","items":["Köklü sayılarla çarpma işlemi gösteriliyor: 300√3/20√3 işleminde 300 dışarı 10, 20 dışarı 5 olarak çıkıyor ve sonuç 5 olarak bulunuyor.","Köklü sayılarda toplama işlemi yaparken kökün içindeki sayıların aynı olması gerektiği vurgulanıyor.","Köklü sayıların kök dışına çıkarılması için çarpma işlemleri yapılıyor: 108 = 36 × 3, 192 = 64 × 3, 48 = 16 × 3 şeklinde."]},"beginTime":1230,"endTime":1323,"href":"/video/preview/7118400444598194079?parent-reqid=1769666921844781-3531491559884873238-balancer-l7leveler-kubr-yp-sas-157-BAL&text=Kode+Akademi&t=1230&ask_summarization=1"},{"index":11,"title":"Köklü Sayılarla Toplama ve Sadeleştirme","list":{"type":"unordered","items":["Köklü sayıların kök dışına çıkarılması sonucunda 6√3, 8√3 ve 4√3 olarak bulunuyor.","Toplama işlemi yapılıyor: 6√3 + 8√3 = 14√3, sonra 14√3/4√3 işleminde sadeleştirme yapılıyor ve sonuç 7/2 olarak bulunuyor.","Köklü sayılarla bölme işlemi gösteriliyor: √0,81 - √0,49 işleminde √0,81 = 9/100, √0,49 = 7/10 olarak çıkıyor ve sonuç 2 olarak bulunuyor."]},"beginTime":1323,"endTime":1441,"href":"/video/preview/7118400444598194079?parent-reqid=1769666921844781-3531491559884873238-balancer-l7leveler-kubr-yp-sas-157-BAL&text=Kode+Akademi&t=1323&ask_summarization=1"},{"index":12,"title":"Köklü Sayılarla Çarpma ve Bölme Tek Kök İçinde","list":{"type":"unordered","items":["Köklü sayılar içerisinde çarpma ve bölme işlemlerinin tek bir kök içinde yazılabilmesi gerektiği hatırlatılıyor.","Tek kök içinde yazılan ifadelerin sadeleştirilmesinin daha kolay olduğu belirtiliyor.","Video, \"Varlık sahasını terk etmiyorsun ve mateist olmamak için Metin Hoca da kalıyorsun\" mesajıyla sonlandırılıyor."]},"beginTime":1441,"endTime":1472,"href":"/video/preview/7118400444598194079?parent-reqid=1769666921844781-3531491559884873238-balancer-l7leveler-kubr-yp-sas-157-BAL&text=Kode+Akademi&t=1441&ask_summarization=1"}],"linkTemplate":"/video/preview/7118400444598194079?parent-reqid=1769666921844781-3531491559884873238-balancer-l7leveler-kubr-yp-sas-157-BAL&text=Kode+Akademi&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"12 - 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Öğretmen, Ece, Bengüsu, Murat, Rabia, Berke ve Umut gibi öğrencilerle interaktif bir şekilde dersi ilerletmektedir.","Video, cebirsel ifadelerin tanımı ve özellikleriyle başlayıp, terim, katsayı, değişken ve sabit terim kavramlarını açıklamaktadır. Ardından cebirsel ifadelerde toplama, çıkarma ve çarpma işlemlerinin nasıl yapılacağı örneklerle anlatılmakta, ardından özdeşlik kavramı, tam kare ve iki kare farkı özdeşlikleri ele alınmaktadır. Son bölümde ise çarpanlara ayırma yöntemleri, ortak paranteze alma ve özdeşliklerden yararlanarak çarpanlara ayırma konuları detaylı olarak işlenmektedir.","Öğretmen, her konuyu örneklerle pekiştirmekte ve öğrencilerin cevaplarını değerlendirerek dersi ilerletmektedir. 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y'dir; sabit terim 4'tür.","Cebirsel ifadelerde toplama ve çıkarma yapılırken aynı değişkenli terimlerin katsayıları toplanıp çıkarılır.","Benzer terimli ifadeler toplanabilir (3x+6x=9x), benzer olmayan terimler toplanamaz (3x²+2x şeklinde kalır)."]},"beginTime":116,"endTime":324,"href":"/video/preview/17963213874072055727?parent-reqid=1769666921844781-3531491559884873238-balancer-l7leveler-kubr-yp-sas-157-BAL&text=Kode+Akademi&t=116&ask_summarization=1"},{"index":2,"title":"Cebirsel İfadelerde Çarpma İşlemi","list":{"type":"unordered","items":["Cebirsel ifadelerde çarpma işlemi yapılırken katsayılar kendi arasında, harfli ifadeler kendi arasında çarpılır.","Harfli ifadelerin çarpımında aynı harflerin kuvvetleri birbiriyle toplanır (x·x=x²).","Bir cebirsel ifade ile iki terimli cebirsel ifade çarpılırken, parantezin dışındaki ifade parantezin içine dağıtılır 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ayrılabilir."]},"beginTime":1370,"endTime":1684,"href":"/video/preview/17963213874072055727?parent-reqid=1769666921844781-3531491559884873238-balancer-l7leveler-kubr-yp-sas-157-BAL&text=Kode+Akademi&t=1370&ask_summarization=1"},{"index":8,"title":"Cebirsel İfadelerin Çarpanlarına Ayrılması","list":{"type":"unordered","items":["a² - 16b² ifadesi iki kare farkı olduğundan (a - 4b)(a + 4b) şeklinde çarpanlarına ayrılabilir.","x² - 4x² + 4x ifadesinde benzer terimler işleme sokulduğunda x² - 3x² + 4x = -2x² + 4x olur ve ortak çarpan parantezine alınırsa x(-2x + 4) şeklinde çarpanlarına ayrılır.","a²b - 9b ifadesinde b ortak çarpan parantezine alınır, kalan a² - 9 ifadesi iki kare farkı olduğundan b(a - 3)(a + 3) şeklinde çarpanlarına ayrılır."]},"beginTime":1686,"endTime":2020,"href":"/video/preview/17963213874072055727?parent-reqid=1769666921844781-3531491559884873238-balancer-l7leveler-kubr-yp-sas-157-BAL&text=Kode+Akademi&t=1686&ask_summarization=1"},{"index":9,"title":"Cebirsel İfadelerde Toplama ve Çıkarma İşlemleri","list":{"type":"unordered","items":["Cebirsel ifadelerde toplama ve çıkarma işlemi yaparken benzer terimler kendi arasında toplanıp çıkarılır.","5x² + 3 - 2x² - 5 ifadesinde benzer terimler işleme sokulduğunda 7x² - 2 sonucu elde edilir.","4a + 7a + 5b ifadesinde benzer terimler işleme sokulduğunda 11a + 5b sonucu elde edilir."]},"beginTime":2020,"endTime":2131,"href":"/video/preview/17963213874072055727?parent-reqid=1769666921844781-3531491559884873238-balancer-l7leveler-kubr-yp-sas-157-BAL&text=Kode+Akademi&t=2020&ask_summarization=1"},{"index":10,"title":"Cebirsel İfadelerde Çarpma İşlemleri","list":{"type":"unordered","items":["Parantezin içine dağıtım yaparken parantezin önündeki işaret dikkatli dağıtılmalıdır.","-2(3x - 6) ifadesinde dağıtım yapıldığında -6x + 12 sonucu elde edilir.","-3(a - 2) ifadesinde dağıtım yapıldığında -3a + 6 sonucu elde 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İlk olarak drama nedir, drama ve oyun arasındaki benzerlikler ve farklılıklar, dramanın özellikleri, yararları ve bileşenleri (lider, katılımcı, ortam, mekan) anlatılmaktadır. Daha sonra dramanın aşamaları (ısınma, esas çalışma, değerlendirme, rahatlama) ve okul öncesi drama etkinliğinde kullanılan teknikler (rol oynama, doğaçlama, parmak oyun, kukla draması) hakkında bilgi verilmektedir. 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