Evaluate :
$\sqrt[3]{1728}$

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Solution

= $\sqrt[3]{¯ ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯ ¯ 2 \times 2 \times 2 \times ¯ ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯ ¯ 2 \times 2 \times 2 \times ¯ ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯ ¯ 3 \times 3 \times 3} = \sqrt[3]{2^{3} \times 2^{3} \times 3^{3}} = 2 \times 2 \times 3 = 12$

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