[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-522578-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-522578-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":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","adding-subtracting-multiplying-radicals-simplify","Adding, Subtracting, Multiplying Radicals - Simplify","","Worksheet for Infinite Algebra 2 practice focused on simplifying expressions involving radicals. Problems cover operations including adding, subtracting, and multiplying radical terms with coefficients and perfect-square factors. The set includes multiple numbered items that require simplifying surds, combining like radicals, and applying multiplication rules for radicals in both monomial and binomial forms. Designed for repeated practice of radical arithmetic skills.",{"@graph":14,"@context":73},[15,34,56],{"@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/adding-subtracting-multiplying-radicals-simplify/522578/",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/adding-subtracting-multiplying-radicals-simplify/522578.png","ImageObject",300,407,{"name":42,"@type":43},"Miles","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-10","2026-10-08",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",10,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What skills does this worksheet practice?","Question",{"text":63,"@type":64},"It practices simplifying expressions involving radicals, including adding, subtracting, and multiplying radical terms.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"What types of radicals appear in the problems?",{"text":68,"@type":64},"The worksheet includes radicals with coefficients and often perfect-square factors that can be simplified.",{"name":70,"@type":61,"acceptedAnswer":71},"Are the problems mainly about combining like radicals?",{"text":72,"@type":64},"Yes. Many questions require combining like radicals after performing the indicated operations and simplifying the result.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},522578,1791505636,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,110,115,120,123,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":96,"doc_module":4,"doc_module_name":25,"category_name":97,"show_sort_weight":98,"slug":99},5,"Comic",60,"comic",{"id":101,"doc_module":4,"doc_module_name":25,"category_name":102,"show_sort_weight":103,"slug":104},6,"Technology",50,"technology",{"id":106,"doc_module":4,"doc_module_name":25,"category_name":107,"show_sort_weight":108,"slug":109},7,"Healthcare",40,"healthcare",{"id":111,"doc_module":4,"doc_module_name":25,"category_name":112,"show_sort_weight":113,"slug":114},8,"Research & Report",30,"research-report",{"id":116,"doc_module":4,"doc_module_name":25,"category_name":117,"show_sort_weight":118,"slug":119},9,"Religion & Spirituality",20,"religion-spirituality",{"id":118,"doc_module":4,"doc_module_name":25,"category_name":121,"show_sort_weight":118,"slug":122},"World Cup","world-cup",{"id":55,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":55,"slug":125},"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":96,"slug":129},19,"General","general",{"code":4,"msg":82,"data":131},{"doc_id":79,"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":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":33,"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":55,"preview_page_count":4},13056703019404,"https://ap-avatar.wpscdn.com/davatar_29158cc5080c5b710cf443261637dec0","Kuta Software-Infinite Algebra 2 Name   \nAdding, Subtracting, Multiplying Radicals  \nSimplify.  \n1) −5 3   \nDate  Period   \n− 3 3  \n2) 2 8  \n− 8  \n3) −4 6  \n− 6  \n4) −3 5  \n+ 2 5  \n5) −3 27  \n− 3 27  \n− 3 27  \n6) −3 12  \n+ 3 3  \n+ 3 20  \n7) −2 45  \n− 3 20  \n− 2 6  \n6  \n8) −3 3  \n6  \n− 2 192  \n− 6 320  \n3  \n9) −3 −3  \n3  \n+ 2 162  \n3  \n+ 3 81  \n10) 4 6 3  \n4  \n+ 2 32  \n6  \n− 3 192  \n6  \n− 2 192  \n11) − 3 320  \n3 − 4 5  \n3  \n+ 2 135  \n3  \n+ 2 16  \n12) 2 3 6  \n− 6 6  \n3 + 3 6  \n6  \n− 3 384  \n13) 3 3  \n14) 5  \n⋅ 3  \n15) 6  \n⋅ 2  \n16) 3 3  \n17) 3 3  \n(4 − 3 5  \n) 18) 4 15  \n(−3 6  \n+ 5)  \n19) 4 15  \n( 6  \n+ 5  \n)  \n20)  \n− 2  \n( 10  \n− 4 6  \n)  \n21)  \n15  \n(2 10  \n− 4 6  \n) 22) (−7 + 3x  \n)(4 + 3x  \n)  \n23) ( 2a  \n− 5)(7 2a  \n− 5) 24) (2 + 5  \n)(−2 + 5k  \n)  \n25) ( 3  \n+ 5x  \n)( 3  \n− 5 5x  \n) 26) (7 + 6  \n)( 1 + 6  \n)  \nKuta Software-Infinite Algebra 2 Name___________________________________  \nAdding, Subtracting, Multiplying Radicals Date________________ Period____  \nSimplify.  \n1) −5 3 − 3 3 2) 2 8 − 8  \n−8 3 2 2  \n3) −4 6 − 6 4) −3 5 + 2 5  \n−5 6 − 5  \n5) −3 27  \n− 3 27  \n− 3 27  \n−27 3  \n6) −3 12  \n+ 3 3  \n+ 3 20  \n−3 3  \n+ 6 5  \n7) −2 45  \n− 3 20  \n− 2 6  \n−12 5  \n− 2 6  \n6  \n8) −3 3  \n6  \n− 2 192  \n− 6 320  \n−7 6 3  \n6 − 2 5  \n3  \n9) −3 −3  \n3  \n+ 2 162  \n3  \n+ 3 81  \n12 3 3  \n3 + 6 6  \n10) 4 6 3  \n4  \n+ 2 32  \n6  \n− 3 192  \n6  \n− 2 192  \n−6 6 3  \n4 + 4 2  \n11) − 3 320  \n3 − 4 5  \n3  \n+ 2 135  \n3  \n+ 2 16  \n−2 3 5  \n3 + 4 2  \n12) 2 3 6  \n− 6 6  \n3 + 3 6  \n6  \n− 3 384  \n6 − 7 6  \n13) 3 ⋅ −20 14) 5 ⋅ 3 3 3  \n− 60 15 3  \n3 3  \n15) 6 ⋅ 2 16) 3 ⋅ 9  \n2 3 3  \n17) 3 3 (4 − 3 5 ) 18) 4 15 (−3 6 + 5)  \n12 3 − 9 15 −36 10 + 20 15  \n19) 4 15 ( 6 + 5 ) 20) − 2 ( 10 − 4 6 )  \n12 10 + 20 3 −2 5 + 8 3  \n21) 15 (2 10 − 4 6 ) 22) (−7 + 3x)(4 + 3x)  \n10 6 − 12 10 −28 − 3 3x + 3x  \n23) ( 2a − 5)(7 2a − 5) 24) (2 + 5 )(−2 + 5k)  \n14a − 40 2a + 25 −4 + 2 5k − 2 5 + 5 k  \n25) ( 3 + 5x)( 3 − 5 5x) 26) (7 + 6 )( 1 + 6 )  \n3 − 4 15x − 25x 13 + 8 6  \nCreate your own worksheets like this one with Infinite Algebra 2. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaiuMZu7D6VAV6","https://ap.wps.com/l/cbCaiuMZu7D6VAV6","pdf",39387,"English","# Simplify\n## Adding, subtracting, and multiplying radicals\n## Practice problems 1-26","[{\"question\":\"What skills does this worksheet practice?\",\"answer\":\"It practices simplifying expressions involving radicals, including adding, subtracting, and multiplying radical terms.\"},{\"question\":\"What types of radicals appear in the problems?\",\"answer\":\"The worksheet includes radicals with coefficients and often perfect-square factors that can be simplified.\"},{\"question\":\"Are the problems mainly about combining like radicals?\",\"answer\":\"Yes. Many questions require combining like radicals after performing the indicated operations and simplifying the result.\"}]","Adding, Subtracting, Multiplying Radicals - Simplify | PDF",1791425936]