Question

Evaluate:
$\sqrt[3]{-1331}$

Answer 1

$\sqrt[3]{-1331}$
By prime factorisation:
$\sqrt[3]{1331}$ = $\sqrt[3]{11\times 11\times 11}$


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