Evaluate :
$\sqrt[3]{\frac{125}{216}}$

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Solution

$\sqrt[3]{\frac{125}{216}} = \frac{\sqrt[3]{125}}{\sqrt[3]{216}} = \frac{\sqrt[3]{5 \times 5 \times 5}}{\sqrt[3]{6 \times 6 \times 6}} = \frac{\sqrt[3]{5^{3}}}{\sqrt[3]{6^{3}}} = \frac{5}{6}$

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