{"id":18386,"date":"2026-05-03T04:27:15","date_gmt":"2026-05-02T22:27:15","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/radical-equation-exact-solution-16\/"},"modified":"2026-05-03T04:27:15","modified_gmt":"2026-05-02T22:27:15","slug":"radical-equation-exact-solution-16","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/radical-equation-exact-solution-16\/","title":{"rendered":"Radical Equation Exact Solution 16"},"content":{"rendered":"<p>Solve \u221a(x + 3) = 7.<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>4<\/li>\n<li>-46<\/li>\n<li>46<\/li>\n<li>52<\/li>\n<\/ul>\n","protected":false},"author":39,"featured_media":0,"comment_status":"open","ping_status":"closed","template":"","topic":[2705],"subject":[1425],"education_level":[1896],"class_list":["post-18386","mcq","type-mcq","status-publish","hentry","topic-algebra","subject-mathematics","education_level-hsc"],"mcq_note":"Start by remembering that the square root symbol gives the non-negative root. The equation says that \u221a(x + 3) is 7. To remove the square root, square both sides: x + 3 = 7\u00b2 = 49. Now isolate x by moving the constant to the other side, so x = 49 - 3 = 46. Always check radical equations: substituting x = 46 makes the expression inside the root equal to 49, and \u221a49 = 7. So the correct answer is 46.","mcq_options":[{"right":"no","answer":"4"},{"right":"no","answer":"-46"},{"right":"yes","answer":"46"},{"right":"no","answer":"52"}],"multi_answers":"no","subject_terms":[{"id":1425,"title":"Mathematics","slug":"mathematics"}],"topic_terms":[{"id":2705,"title":"Algebra","slug":"algebra"}],"_links":{"self":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/mcq\/18386","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=18386"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=18386"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=18386"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=18386"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=18386"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}