Question

Evaluate:
$\sqrt[3]{8000}$

Answer 1

$\sqrt[3]{8000}$
By prime factorisation:

8000 = $2\times 2\times 2\times 2\times 2\times 2\times 5\times 5\times 5$
= $\left(2\times 2\times 2\right)\times \left(2\times 2\times 2\right)\times \left(5\times 5\times 5\right)$

∴ $\sqrt[3]{8000}$ = $\left(2\times 2\times 5\right)=20$