what is the square root of 150 in simplified radical form ?<\/p>\n\n\n\n
The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n The square root of 150 can be simplified into radical form as follows: 150=25\u00d76\\sqrt{150} = \\sqrt{25 \\times 6}<\/p>\n\n\n\n Since 25 is a perfect square, its square root is 5. Therefore, the expression simplifies to: 150=25\u00d76=56\\sqrt{150} = \\sqrt{25} \\times \\sqrt{6} = 5\\sqrt{6}<\/p>\n\n\n\n Thus, the square root of 150 in simplified radical form is 565\\sqrt{6}.<\/p>\n\n\n\n When simplifying square roots, the goal is to factor the number inside the square root into a product of smaller factors, one of which is a perfect square. In this case, the first step is to factor 150 into 25\u00d7625 \\times 6. The reason we choose 25 is that it is a perfect square, which means its square root can be easily simplified.<\/p>\n\n\n\n Next, we apply the property of square roots: ab=a\u00d7b\\sqrt{ab} = \\sqrt{a} \\times \\sqrt{b}<\/p>\n\n\n\n This allows us to separate the square root into two parts: 25\\sqrt{25} and 6\\sqrt{6}. The square root of 25 is 5 because 5\u00d75=255 \\times 5 = 25, so the expression simplifies to: 565\\sqrt{6}<\/p>\n\n\n\n Since 6 cannot be simplified further (it does not contain any perfect square factors), the expression 565\\sqrt{6} is the simplest radical form.<\/p>\n\n\n\n In general, simplifying square roots involves recognizing and factoring perfect squares from the number under the square root. This process helps make the expression more manageable and easier to understand.<\/p>\n","protected":false},"excerpt":{"rendered":" what is the square root of 150 in simplified radical form ? The correct answer and explanation is: The square root of 150 can be simplified into radical form as follows: 150=25\u00d76\\sqrt{150} = \\sqrt{25 \\times 6} Since 25 is a perfect square, its square root is 5. Therefore, the expression simplifies to: 150=25\u00d76=56\\sqrt{150} = \\sqrt{25} […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-47827","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/47827","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=47827"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/47827\/revisions"}],"predecessor-version":[{"id":47828,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/47827\/revisions\/47828"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=47827"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=47827"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=47827"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Explanation:<\/h3>\n\n\n\n