Simplify 2* square root of 8

$2 \cdot \sqrt{8}$

Step 1

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

Factor $4$ out of $8$ .

$2 \cdot \sqrt{4 (2)}$

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

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

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

Step 2

Pull terms out from under the radical.

$2 \cdot (2 \sqrt{2})$

Step 3

Multiply $2$ by $2$ .

$4 \sqrt{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$4 \sqrt{2}$

Decimal Form:

$5.65685424 \dots$

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