Evaluate square root of 8^3

$\sqrt{8^{3}}$

Step 1

Raise $8$ to the power of $3$ .

$\sqrt{512}$

Step 2

Rewrite $512$ as $16^{2} \cdot 2$ .

Factor $256$ out of $512$ .

$\sqrt{256 (2)}$

Rewrite $256$ as $16^{2}$ .

$\sqrt{16^{2} \cdot 2}$

$\sqrt{16^{2} \cdot 2}$

Step 3

Pull terms out from under the radical.

$16 \sqrt{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$16 \sqrt{2}$

Decimal Form:

$22.62741699 \dots$

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