Simplify fifth root of 128

$\sqrt[5]{128}$

Step 1

Rewrite $128$ as $2^{5} \cdot 4$ .

Factor $32$ out of $128$ .

$\sqrt[5]{32 (4)}$

Rewrite $32$ as $2^{5}$ .

$\sqrt[5]{2^{5} \cdot 4}$

$\sqrt[5]{2^{5} \cdot 4}$

Step 2

Pull terms out from under the radical.

$2 \sqrt[5]{4}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt[5]{4}$

Decimal Form:

$2.63901582 \dots$

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