[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-522946-105":59,"doc-detail-522946-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","multiplying-square-roots-geometry-worksheet","Multiplying Square Roots - Geometry Worksheet","","This geometry practice worksheet, designed for educational assessment, provides a comprehensive set of exercises focused on the multiplication and simplification of square roots. The content includes 24 structured problems, ranging from the multiplication of two radical expressions to the application of the distributive property with radicals. Each problem requires students to apply algebraic rules to simplify square root expressions, including handling coefficients, radicals, and sums or differences. This document serves as a standard academic resource for high school geometry students to practice and master radical arithmetic operations in a controlled environment.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/multiplying-square-roots-geometry-worksheet/522946/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/multiplying-square-roots-geometry-worksheet/522946.png","ImageObject",300,407,{"name":92,"@type":93},"Bintang","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-10","2026-10-08",true,{"@type":102,"interactionType":103,"userInteractionCount":34},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do you multiply two radicals with the same index?","Question",{"text":112,"@type":113},"To multiply radicals with the same index, multiply the coefficients together and multiply the radicands (the numbers inside the radical) together, then simplify the resulting expression if possible.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What property is used to simplify expressions like 15(sqrt(3) + 2)?",{"text":117,"@type":113},"The distributive property is used, which involves multiplying the term outside the parentheses by each term inside the parentheses separately.",{"name":119,"@type":110,"acceptedAnswer":120},"Why is it important to simplify radical expressions?",{"text":121,"@type":113},"Simplifying radical expressions is necessary to express mathematical results in their most compact and standard form, which is essential for further algebraic manipulation and solving equations.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},522946,1791710516,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":34,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":19,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":52,"preview_page_count":4},962085564381,"https://ap-avatar.wpscdn.com/davatar_6f874abed73319feea01a86fa6f0fab8","Kuta Software-Infinite Geometry Name___________________________________  \nMultiplying Square Roots Date________________ Period____  \nSimplify.  \n1) 5 ⋅ 5 2) 10 ⋅ 2  \n3) 8 ⋅ 8 4) 20 ⋅ 10  \n5) 3 ⋅ 3 6) 5 ⋅ 12  \n7) 2 2 ⋅ 12 8) 5 ⋅ 2 2  \n9) 6 ⋅ −2 6 10) 2 ⋅ −2 5  \n11) 6 ⋅ − 9 12) 5 ⋅ −5 5  \n13) 15 ( 3 + 2) 14) 6 ( 2 + 3 )  \n15) 10 ( 10 + 2) 16) 5 ( 5 + 3)  \n17) 5 (5 + 5 ) 18) 15 ( 3 + 10 )  \n19) −5 3 (2 + 5 ) 20) 3 (5 + 2 )  \n21) 10 (4 2 + 5 ) 22) 3 6 ( 10 − 3 )  \n23) −4 5 (4 − 3 10 ) 24) 5 (−4 6 + 10 )  \nKuta Software-Infinite Geometry Multiplying Square Roots  \nSimplify.  \n1) 5 ⋅ 5  \n5  \nName___________________________________  \nDate________________ Period____  \n2) 10 ⋅ 2  \n2 5  \n3) 8 ⋅ 8 4) 20 ⋅ 10  \n8 10 2  \n5) 3 ⋅ 3 6) 5 ⋅ 12  \n3 2 15  \n7) 2 2 ⋅ 12 8) 5 ⋅ 2 2  \n4 6 2 10  \n9) 6 ⋅ −2 6 10) 2 ⋅ −2 5  \n−12 −2 10  \n11) 6 ⋅ − 9 12) 5 ⋅ −5 5  \n−3 6 −25  \n13) 15 ( 3 + 2) 14) 6 ( 2 + 3 )  \n3 5 + 2 15 2 3 + 3 2  \n15) 10 ( 10 + 2) 16) 5 ( 5 + 3)  \n10 + 2 10 5 + 3 5  \n17) 5 (5 + 5 ) 18) 15 ( 3 + 10 )  \n5 5 + 5 3 5 + 5 6  \n19) −5 3 (2 + 5 ) 20) 3 (5 + 2 )  \n−10 3 − 5 15 5 3 + 6  \n21) 10 (4 2 + 5 ) 22) 3 6 ( 10 − 3 )  \n8 5 + 5 2 6 15 − 9 2  \n23) −4 5 (4 − 3 10 ) 24) 5 (−4 6 + 10 )  \n−16 5 + 60 2 −4 30 + 5 2  \nCreate your own worksheets like this one with Infinite Geometry. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaim6VCxyN18Ch","https://ap.wps.com/l/cbCaim6VCxyN18Ch","pdf",32756,"English","# Practice Problems\n## Basic Multiplication\n## Distributive Property Applications","[{\"question\":\"How do you multiply two radicals with the same index?\",\"answer\":\"To multiply radicals with the same index, multiply the coefficients together and multiply the radicands (the numbers inside the radical) together, then simplify the resulting expression if possible.\"},{\"question\":\"What property is used to simplify expressions like 15(sqrt(3) + 2)?\",\"answer\":\"The distributive property is used, which involves multiplying the term outside the parentheses by each term inside the parentheses separately.\"},{\"question\":\"Why is it important to simplify radical expressions?\",\"answer\":\"Simplifying radical expressions is necessary to express mathematical results in their most compact and standard form, which is essential for further algebraic manipulation and solving equations.\"}]","Multiplying Square Roots - Geometry Worksheet | PDF",1791426339]