{"id":21328,"date":"2026-05-25T22:28:09","date_gmt":"2026-05-25T16:28:09","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/simplify-a-square-root-using-square-factors-9\/"},"modified":"2026-05-25T22:28:09","modified_gmt":"2026-05-25T16:28:09","slug":"simplify-a-square-root-using-square-factors-9","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/simplify-a-square-root-using-square-factors-9\/","title":{"rendered":"Simplify a square root using square factors"},"content":{"rendered":"<p>Simplify \u221a250 as much as possible.<\/p>\n<ul class=\"quiz-options\">\n<li>5\u221a10<\/li>\n<li>50<\/li>\n<li>5\u221a25<\/li>\n<li>10\u221a5<\/li>\n<li>\u221a10<\/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-21328","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 250. Since 250 = 25 \u00d7 10 and \u221a25 = 5, we get \u221a250 = 5\u221a10. 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 5\u221a10, which matches the calculation or reasoning shown.","mcq_options":[{"right":"yes","answer":"5\u221a10"},{"right":"no","answer":"50"},{"right":"no","answer":"5\u221a25"},{"right":"no","answer":"10\u221a5"},{"right":"no","answer":"\u221a10"}],"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\/21328","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=21328"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=21328"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=21328"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=21328"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=21328"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}