Question

Find the cube root $\sqrt[3]{-125}$.

Answer 1

Given: $\sqrt[3]{-125}$

Since, $-125=\left(-5\right)\times \left(-5\right)\times \left(-5\right)={\left(-5\right)}^3$.

Then,

$\sqrt[3]{-125}=\sqrt[3]{{\left(-5\right)}^3}=-5$ ( $\because$cancel cube with cube root )

Hence, $\sqrt[3]{-125}=-5$.