{"id":1646,"date":"2012-05-17T14:55:33","date_gmt":"2012-05-17T14:55:33","guid":{"rendered":"http:\/\/www.schooltutoring.com\/scholarship\/?p=1646"},"modified":"2014-12-02T08:33:45","modified_gmt":"2014-12-02T08:33:45","slug":"rationalization-of-a-radical","status":"publish","type":"post","link":"https:\/\/schooltutoring.com\/scholarship\/2012\/05\/17\/rationalization-of-a-radical\/","title":{"rendered":"Rationalization of a Radical"},"content":{"rendered":"<p>The process of multiplying a radical by another radical to get a rational number is called rationalization. Each radical is called the rationalizing factor or conjugate of the other.<\/p>\n<p><strong>Rationalizing of a monomial radical<br \/>\n<\/strong><\/p>\n<p>Example:<\/p>\n<p><a href=\"https:\/\/www.SchoolTutoring.com\/wp-content\/uploads\/sites\/8\/2012\/05\/rat-of-mono-surd.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-1647\" title=\"rat of mono surd\" src=\"https:\/\/www.SchoolTutoring.com\/wp-content\/uploads\/sites\/8\/2012\/05\/rat-of-mono-surd.png\" alt=\"\" width=\"210\" height=\"129\" \/><\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Rationalizing of a binomial radical<br \/>\n<\/strong><\/p>\n<p>A binomial radical is the sum or difference of two distinct monomial radicals or rational number and a monomial radical.<\/p>\n<p><a href=\"https:\/\/www.SchoolTutoring.com\/wp-content\/uploads\/sites\/8\/2012\/05\/rat-of-bin-surd.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-1648\" title=\"rat of bin surd\" src=\"https:\/\/www.SchoolTutoring.com\/wp-content\/uploads\/sites\/8\/2012\/05\/rat-of-bin-surd.png\" alt=\"\" width=\"211\" height=\"161\" \/><\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p class=\"MsoNormal\">\u00a0<strong><\/strong><\/p>\n<p class=\"MsoNormal\"><strong>Rationalizing the denominator<\/strong><\/p>\n<p class=\"MsoNormal\">\u00a0To rationalize a denominator both the numerator and denominator are multiplied by the rationalizing factor of the denominator.<\/p>\n<p>\u00a0<a href=\"https:\/\/www.SchoolTutoring.com\/wp-content\/uploads\/sites\/8\/2012\/05\/rat-den.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-1649\" title=\"rat den\" src=\"https:\/\/www.SchoolTutoring.com\/wp-content\/uploads\/sites\/8\/2012\/05\/rat-den.png\" alt=\"\" width=\"272\" height=\"426\" srcset=\"https:\/\/schooltutoring.com\/scholarship\/wp-content\/uploads\/sites\/8\/2012\/05\/rat-den.png 272w, https:\/\/schooltutoring.com\/scholarship\/wp-content\/uploads\/sites\/8\/2012\/05\/rat-den-191x300.png 191w\" sizes=\"auto, (max-width: 272px) 100vw, 272px\" \/><\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>SchoolTutoring Academy is the premier educational services company for K-12 and college students. We offer tutoring programs for students in K-12, AP classes, and college. To learn more about how we help parents and students in La Mesa visit: <a href=\"https:\/\/schooltutoring.com\/tutoring-in-la-mesa-california\">Tutoring in La Mesa.<\/a><\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The process of multiplying a radical by another radical to get a rational number is called rationalization. Each radical is called the rationalizing factor or conjugate of the other. Rationalizing of a monomial radical Example: &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; Rationalizing of a binomial radical A binomial radical is the sum or difference of [&hellip;]<\/p>\n","protected":false},"author":19,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"inline_featured_image":false,"footnotes":""},"categories":[2],"tags":[1487,1489,1491],"class_list":["post-1646","post","type-post","status-publish","format-standard","hentry","category-algebra","tag-rationalizationofbinomialradicals","tag-rationalizationofmonomialradical","tag-rationalizeofradicals"],"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/posts\/1646","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/users\/19"}],"replies":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/comments?post=1646"}],"version-history":[{"count":0,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/posts\/1646\/revisions"}],"wp:attachment":[{"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/media?parent=1646"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/categories?post=1646"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/tags?post=1646"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}