Simplify - square root of 128

$- \sqrt{128}$

Step 1

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

Factor $64$ out of $128$ .

$- \sqrt{64 (2)}$

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

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

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

Step 2

Pull terms out from under the radical.

$- (8 \sqrt{2})$

Step 3

Multiply $8$ by $- 1$ .

$- 8 \sqrt{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- 8 \sqrt{2}$

Decimal Form:

$- 11.31370849 \dots$

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