Evaluate fourth root of 256/8

$\sqrt[4]{\frac{256}{8}}$

Step 1

Divide $256$ by $8$ .

$\sqrt[4]{32}$

Step 2

Rewrite $32$ as $2^{4} \cdot 2$ .

Factor $16$ out of $32$ .

$\sqrt[4]{16 (2)}$

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

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

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

Step 3

Pull terms out from under the radical.

$2 \sqrt[4]{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt[4]{2}$

Decimal Form:

$2.37841423 \dots$

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