Simplify the Radical Expression cube root of 4^2

$\sqrt[3]{4^{2}}$

Raise $4$ to the power of $2$ .

$\sqrt[3]{16}$

Rewrite $16$ as $2^{3} \cdot 2$ .

Factor $8$ out of $16$ .

$\sqrt[3]{8 (2)}$

Rewrite $8$ as $2^{3}$ .

$\sqrt[3]{2^{3} \cdot 2}$

Pull terms out from under the radical.

$2 \sqrt[3]{2}$

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt[3]{2}$

Decimal Form:

$2.51984209 \dots$