How do you find the cube roots $\sqrt[3]{64}$ $root3(64)$ ?

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How do you find the cube roots $\sqrt[3]{64}$ $root3(64)$ ?

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Answer 1 · 2018-03-06T00:50:49

$4$ $4$

Explanation:

Find the prime factorization of 64, which should yield $2^{6}$ $2^6$ , which can be written as $4^{3}$ $4^3$ . Noting that it asked for cube root, the expression can also be written as ${(4^{3})}^{\frac{1}{3}}$ $(4^3)^(1/3)$ $\Rightarrow 4$ $=> 4$

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How do you find the cube roots $\sqrt[3]{64}$ $root3(64)$ ?

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How do you find the cube roots $\sqrt[3]{64}$ $root3(64)$ ?