Simplify square root of 128

$\sqrt{128}$

Rewrite $128$ as $8^{2} \cdot 2$ .

Factor $64$ out of $128$ .

$\sqrt{64 (2)}$

Rewrite $64$ as $8^{2}$ .

$\sqrt{8^{2} \cdot 2}$

$\sqrt{8^{2} \cdot 2}$

Pull terms out from under the radical.

$8 \sqrt{2}$

The result can be shown in multiple forms.

Exact Form:

$8 \sqrt{2}$

Decimal Form:

$11.31370849 \dots$

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