Evaluate:

Question:

Evaluate:

$\sqrt[3]{-1331}$

Solution:

$\sqrt[3]{-1331}$

By prime factorisation:

$\sqrt[3]{1331}=\sqrt[3]{11 \times 11 \times 11}$

$\sqrt[3]{-1331}=-(11 \times 11 \times 11)^{\frac{1}{3}}=-11$

$\therefore \sqrt[3]{-1331}=-(\sqrt[3]{1331})=-11$

 

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