Correct Answer: 3x<\/strong><\/p>\n\n\n\n Explanation:<\/strong><\/p>\n\n\n\n We are asked to simplify the cube root of the expression: Let us first break this expression into parts and simplify each part separately:<\/p>\n\n\n\n 27 is a perfect cube because: x\u00b3 means x raised to the power of 3. Taking the cube root of x\u00b3 is the same as reversing that power: Now multiply the simplified cube root of each part: Radical expressions involve roots, and in this case, we are dealing with cube roots. The cube root of a number asks, “What number multiplied by itself three times gives the original number?” Since 3 \u00d7 3 \u00d7 3 equals 27, the cube root of 27 is 3.<\/p>\n\n\n\n For variables, exponents and roots work in an opposite manner. If a variable is raised to a power that matches the root, they cancel out. In this case, since x\u00b3 is raised to the power of 3 and we are taking a cube root, we are left with x.<\/p>\n\n\n\n This concept is very helpful when simplifying expressions or solving equations involving radicals, especially in algebra and higher-level math. Simplifying expressions like this helps make the problem easier to solve or evaluate.<\/p>\n\n\n\n Simplify the following radical expression. cube root of 27 x cubed end root The Correct Answer and Explanation is: Correct Answer: 3x Explanation: We are asked to simplify the cube root of the expression:\u221a[3]{27x\u00b3}This is read as “the cube root of 27 times x cubed.” Let us first break this expression into parts and simplify […]<\/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-32747","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/32747","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=32747"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/32747\/revisions"}],"predecessor-version":[{"id":32752,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/32747\/revisions\/32752"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=32747"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=32747"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=32747"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\n\n\n\n
\u221a[3]{27x\u00b3}
This is read as “the cube root of 27 times x cubed.”<\/p>\n\n\n\nStep 1: Cube root of 27<\/h3>\n\n\n\n
3 \u00d7 3 \u00d7 3 = 27
So, the cube root of 27 is:
\u221a[3]{27} = 3<\/p>\n\n\n\nStep 2: Cube root of x\u00b3<\/h3>\n\n\n\n
\u221a[3]{x\u00b3} = x
This is because the cube root and the exponent of 3 cancel each other out.<\/p>\n\n\n\nStep 3: Combine the results<\/h3>\n\n\n\n
\u221a[3]{27x\u00b3} = \u221a[3]{27} \u00d7 \u221a[3]{x\u00b3}
= 3 \u00d7 x
= 3x<\/strong><\/p>\n\n\n\n
\n\n\n\nAdditional Explanation:<\/h3>\n\n\n\n
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