Evaluate :
$\sqrt[3]{729}$

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Solution

$\sqrt[3]{729} = \sqrt[3]{¯ ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯ ¯ 3 \times 3 \times 3 \times ¯ ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯ ¯ 3 \times 3 \times 3}$
= $\sqrt[3]{3^{3} \times 3^{3}} = 3 \times 3 = 9$

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