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root(3)(707)

$\sqrt[3]{707}$

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Evaluate integers raised to positive rational exponents

Full solution

Q.

\sqrt[3]{707}

Identify cube root operation: Identify the cube root operation. $\newline$ Cube root of $707$ is written as $\sqrt[3]{707}$ .
Estimate rough value: Estimate a rough value. $\newline$ Since $8^3 = 512$ and $9^3 = 729$ , $\sqrt[3]{707}$ is between $8$ and $9$ .
Find precise value: Use a calculator or estimation to find the precise value. $\sqrt[3]{707} \approx 8.9$ (using a calculator or estimation method).

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