Question

Find the cube root $\sqrt[3]{-1000}$

Answer 1

Given: $\sqrt[3]{-1000}$

Since, $-1000=\left(-10\right)\times \left(-10\right)\times \left(-10\right)={\left(-10\right)}^3$.

Then,

$\sqrt[3]{-1000}=\sqrt[3]{{\left(-10\right)}^3}=-10$ ( $\because$ cancel cube with cube root )

Hence, $\sqrt[3]{-1000}=-10$.