{"id":21353,"date":"2026-05-25T22:28:11","date_gmt":"2026-05-25T16:28:11","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/simplify-a-square-root-using-square-factors-11\/"},"modified":"2026-05-25T22:28:11","modified_gmt":"2026-05-25T16:28:11","slug":"simplify-a-square-root-using-square-factors-11","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/simplify-a-square-root-using-square-factors-11\/","title":{"rendered":"Simplify a square root using square factors"},"content":{"rendered":"<p>Simplify \u221a99 as much as possible.<\/p>\n<ul class=\"quiz-options\">\n<li>33<\/li>\n<li>3\u221a11<\/li>\n<li>11\u221a3<\/li>\n<li>3\u221a9<\/li>\n<li>\u221a11<\/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-21353","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 99. Since 99 = 9 \u00d7 11 and \u221a9 = 3, we get \u221a99 = 3\u221a11. 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 3\u221a11, which matches the calculation or reasoning shown.","mcq_options":[{"right":"no","answer":"33"},{"right":"yes","answer":"3\u221a11"},{"right":"no","answer":"11\u221a3"},{"right":"no","answer":"3\u221a9"},{"right":"no","answer":"\u221a11"}],"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\/21353","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=21353"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=21353"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=21353"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=21353"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=21353"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}