Question

Evaluate $\sqrt[3]{4096}.$

Answer 1

$\sqrt[3]{4096}$

By prime factorisation method:

$\sqrt[3]{4096}$ = $\sqrt[3]{2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2}=\sqrt[3]{{\left(2\right)}^3\times {\left(2\right)}^3\times {\left(2\right)}^3\times {\left(2\right)}^3}$
$\sqrt[3]{4096}$ = $\left(2\right)\times \left(2\right)\times \left(2\right)\times \left(2\right)=16$.

∴ $\sqrt[3]{4096}$ = $16$