[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-467618-105":3,"detail-sidebar-cat-0-en-105":80,"doc-detail-467618-en":130},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":73,"head_meta":75,"extra_data":77,"updated_unix":79},105,"en","simplifying-radicals-answer-key-simplify-each-radical","Simplifying Radicals - Answer Key - Simplify each radical","","Practice sheet for simplifying radicals, prompting students to simplify given square roots by factoring out perfect squares. The worksheet lists multiple radicand values across problems 1 through 20, then provides a dedicated Answer Key section. The answer key shows simplified results for each radical, allowing learners to check their work and review number factorization and radical reduction steps.",{"@graph":14,"@context":72},[15,34,55],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/simplifying-radicals-answer-key-simplify-each-radical/467618/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/simplifying-radicals-answer-key-simplify-each-radical/467618.png","ImageObject",300,407,{"name":42,"@type":43},"Asher","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-29","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":30},"InteractionCounter",{"@type":54},"ViewAction",{"@type":56,"mainEntity":57},"FAQPage",[58,64,68],{"name":59,"@type":60,"acceptedAnswer":61},"What does the worksheet ask you to do with each radical?","Question",{"text":62,"@type":63},"Simplify each radical shown in the problems.","Answer",{"name":65,"@type":60,"acceptedAnswer":66},"How are the problems organized on the sheet?",{"text":67,"@type":63},"The sheet lists radicals as numbered items from 1 to 20.",{"name":69,"@type":60,"acceptedAnswer":70},"Where can you find the correct simplified answers?",{"text":71,"@type":63},"The document includes an “Answers” section and an “Answer Key” with the simplified results for each item.","https://schema.org",{"og:url":32,"og:type":74,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":76,"canonical":32},"index,follow",{"doc_id":78,"site_id":7},467618,1792908600,{"code":4,"msg":81,"data":82},"success",[83,87,91,94,99,104,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":84,"show_sort_weight":85,"slug":86},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":88,"show_sort_weight":89,"slug":90},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":92,"slug":93},70,"exam",{"id":95,"doc_module":4,"doc_module_name":25,"category_name":96,"show_sort_weight":97,"slug":98},5,"Comic",60,"comic",{"id":100,"doc_module":4,"doc_module_name":25,"category_name":101,"show_sort_weight":102,"slug":103},6,"Technology",50,"technology",{"id":105,"doc_module":4,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},7,"Healthcare",40,"healthcare",{"id":110,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},8,"Research & Report",30,"research-report",{"id":115,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},9,"Religion & Spirituality",20,"religion-spirituality",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":117,"slug":121},"World Cup","world-cup",{"id":123,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":123,"slug":125},10,"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":95,"slug":129},19,"General","general",{"code":4,"msg":81,"data":131},{"doc_id":78,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":30,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":30,"language":139,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":12,"update_tm":143,"read_time":110},687197207639,"https://ap-avatar.wpscdn.com/davatar_a8503ba1806abce46bf441b54a3ca4cd","Simplifying Radicals  \nName:  \nSimplify each radical.  \n1)  \n2)  \n3)  \n4)  \n5)  \n6)  \n7)  \n8)  \n9)  \n10)  \n11)  \n12)  \n13)  \n14)  \n15)  \n16)  \n17)  \n18)  \n19)  \n20)  \n36  \n68  \n56  \n54  \n12  \n63  \n98  \n90  \n84  \n96  \n81  \n80  \n76  \n75  \n25  \n52  \n16  \n32  \n27  \n60  \n1.  \n2.  \n3.  \n4.  \n5.  \n6.  \n7.  \n8.  \n9.  \n10.  \n11.  \n12.  \n13.  \n14.  \n15.  \n16.  \n17.  \n18.  \n19.  \n20.  \nAnswers  \nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n6  \n1-10 11-20  \n95  \n45  \n90  \n40  \n85  \n35  \n80  \n30  \n75  \n25  \n70  \n20  \n65  \n15  \n60  \n10  \n55  \n5  \n50  \n0  \nSimplifying Radicals  \nName: Answer Key  \n\n| Simplify each radical.\u003Cbr>1) 36 2) 68 3) 56 4) 54 5) 12 6) 63 7) 98 8) 90 9) 84 10) 96 11) 81 12) 80 13) 76 14) 75 15) 25 16) 52 17) 16 18) 32 19) 27\u003Cbr>20) 60\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>| Answers\u003Cbr>1.  6  2.  2 17  3.  2 14  4.  3 6  5.  2 3  6.  3 7  7.  7 2  8.  3 10  9.  2 21  10.  4 6  11.  9  12.  4 5  13.  2 19  14.  5 3  15.  5  16.  2 13  17.  4  18.  4 2  19.  3 3 \u003Cbr>20. 2 15\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>|\n| --- | --- |\n\nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n6  \n1-10 11-20  \n95  \n45  \n90  \n40  \n85  \n35  \n80  \n30  \n75  \n25  \n70  \n20  \n65  \n15  \n60  \n10  \n55  \n5  \n50  \n0  \nSimplifying Radicals  \nName:  \n\n| Simplify each radical. |  |  |  |  |  |  |  |  | Answers |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1) | 36 =\u003Cbr>|  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 2) | 68 = 2\u003Cbr>|  |  |  |  |  |  |  | 1.  \u003Cbr>2.  \u003Cbr>3.   |  |  |  |  |  |  |\n| 3) | 56 = 2\u003Cbr>|  |  |  |  |  |  |  | 4.   |  |  |  |  |  |  |\n| 4) | 54 = 3\u003Cbr>|  |  |  |  |  |  |  | 5.   |  |  |  |  |  |  |\n| 5)\u003Cbr>6) | 12 = 2\u003Cbr>\u003Cbr>63 = 3\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>|  |  |  |  |  |  |  | 6.  \u003Cbr>7.  \u003Cbr>8.  \u003Cbr>9.   |  |  |  |  |  |  |\n| 7) | 98 = 7\u003Cbr>|  |  |  |  |  |  |  | 10.   |  |  |  |  |  |  |\n| 8)\u003Cbr>9) | 90 = 3\u003Cbr>84 = 2\u003Cbr>\u003Cbr>|  |  |  |  |  |  |  | 11.  \u003Cbr>12.   |  |  |  |  |  |  |\n| 10) | 96 = 4\u003Cbr>|  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 11) | 81 =\u003Cbr>|  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 12) | 80 = 4\u003Cbr>|  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  | Math | Modified\u003Cbr>[www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 6 | 1-10\u003Cbr>11-12 | 92 | 83 | 75 | 67 |  | 58 | 50 | 42 | 33 | 25 | 17 |\n|  |  |  |  |  | 8 | 0 |  |  |  |  |  |  |  |  |  |","cbCaiabfQgSIpOBp","https://ap.wps.com/l/cbCaiabfQgSIpOBp","pdf",62350,"English","# Simplifying Radicals\n## Simplify each radical\n## Answers\n## Answer Key","[{\"question\":\"What does the worksheet ask you to do with each radical?\",\"answer\":\"Simplify each radical shown in the problems.\"},{\"question\":\"How are the problems organized on the sheet?\",\"answer\":\"The sheet lists radicals as numbered items from 1 to 20.\"},{\"question\":\"Where can you find the correct simplified answers?\",\"answer\":\"The document includes an “Answers” section and an “Answer Key” with the simplified results for each item.\"}]","Simplifying Radicals - Answer Key - Simplify each radical | PDF",1790773108]