Simplify fifth root of 160

$\sqrt[5]{160}$

Step 1

Rewrite $160$ as $2^{5} \cdot 5$ .

Factor $32$ out of $160$ .

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

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

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

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

Step 2

Pull terms out from under the radical.

$2 \sqrt[5]{5}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt[5]{5}$

Decimal Form:

$2.75945932 \dots$

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