Question

Evaluate:
$\sqrt[3]{\frac{-27}{125}}$

Answer 1

$\sqrt[3]{\frac{-27}{125}}$

By factorisation:
$\sqrt[3]{\frac{27}{125}}$= $\sqrt[3]{\frac{3\times 3\times 3}{5\times 5\times 5}}$

∴ $\sqrt[3]{\frac{-27}{125}}$= $\frac{-3}{5}$