{"id":21215,"date":"2026-05-25T22:26:59","date_gmt":"2026-05-25T16:26:59","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/simplify-a-square-root-using-square-factors-2\/"},"modified":"2026-05-25T22:26:59","modified_gmt":"2026-05-25T16:26:59","slug":"simplify-a-square-root-using-square-factors-2","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/simplify-a-square-root-using-square-factors-2\/","title":{"rendered":"Simplify a square root using square factors"},"content":{"rendered":"<p>Simplify \u221a468 as much as possible.<\/p>\n<ul class=\"quiz-options\">\n<li>13\u221a6<\/li>\n<li>6\u221a36<\/li>\n<li>\u221a13<\/li>\n<li>6\u221a13<\/li>\n<li>78<\/li>\n<\/ul>\n","protected":false},"author":39,"featured_media":0,"comment_status":"open","ping_status":"closed","template":"","topic":[2655,2900],"subject":[2750],"education_level":[1894],"class_list":["post-21215","mcq","type-mcq","status-publish","hentry","topic-square-roots","topic-surds","subject-advanced-mathematics","education_level-grade-8"],"mcq_note":"Look for the largest square factor of 468. Since 468 = 36 \u00d7 13 and \u221a36 = 6, we get \u221a468 = 6\u221a13. To simplify a surd, split the number under the root into a perfect-square factor and the remaining factor. Take the square root of the perfect square outside the radical. The expression is simplified when no square factor greater than 1 remains under the root. The correct answer is 6\u221a13, which matches the calculation or reasoning shown.","mcq_options":[{"right":"no","answer":"13\u221a6"},{"right":"no","answer":"6\u221a36"},{"right":"no","answer":"\u221a13"},{"right":"yes","answer":"6\u221a13"},{"right":"no","answer":"78"}],"multi_answers":"no","subject_terms":[{"id":2750,"title":"Advanced Mathematics","slug":"advanced-mathematics"}],"topic_terms":[{"id":2655,"title":"Square Roots","slug":"square-roots"},{"id":2900,"title":"Surds","slug":"surds"}],"_links":{"self":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/mcq\/21215","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/mcq"}],"about":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/types\/mcq"}],"author":[{"embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/users\/39"}],"replies":[{"embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/comments?post=21215"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=21215"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=21215"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=21215"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=21215"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}