Evaluate fourth root of 160

$\sqrt[4]{160}$

Step 1

Rewrite $160$ as $2^{4} \cdot 10$ .

Factor $16$ out of $160$ .

$\sqrt[4]{16 (10)}$

Rewrite $16$ as $2^{4}$ .

$\sqrt[4]{2^{4} \cdot 10}$

$\sqrt[4]{2^{4} \cdot 10}$

Step 2

Pull terms out from under the radical.

$2 \sqrt[4]{10}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt[4]{10}$

Decimal Form:

$3.55655882 \dots$

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