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What is the following product?
^3sqrt24 • ^3sqrt45

What is the following product? ^3sqrt24 • ^3sqrt45-example-1

1 Answer

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\sf \: \sqrt[3]{24} . \sqrt[3]{45} \\ \sf = \sqrt[3]{24 * 45} \\ \sf \:= \sqrt[3]{\underline{3 * 3 * 3} * \underline{ 2 * 2 * 2} * 5} \\ \sf = 2 * 3 * \sqrt[3]{5} \\ = \boxed{\underline{\bf 6(\sqrt[3]{5} )}} \: \sf\: option \: 3

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