Question:
Evaluate:
$\sqrt[3]{-1331}$
Solution:
$\sqrt[3]{-1331}$
By prime factorisation:
$\sqrt[3]{1331}=\sqrt[3]{11 \times 11 \times 11}$
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$\sqrt[3]{-1331}=-(11 \times 11 \times 11)^{\frac{1}{3}}=-11$
$\therefore \sqrt[3]{-1331}=-(\sqrt[3]{1331})=-11$
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