Question

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

Answer 1

$\sqrt[3]{4096}$
By prime factorisation:

4096 = $2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2$
= $$\begin{gathered} \left(2\times 2\times 2\right)\times \left(2\times 2\times 2\right)\times \left(2\times 2\times 2\right)\times \left(2\times 2\times 2\right) \\ =2^3\times 2^3\times 2^3\times 2^3 \end{gathered}$$

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