Evaluate square root of 8*2

$\sqrt{8} \cdot 2$

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

Factor $4$ out of $8$ .

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

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

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

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

Pull terms out from under the radical.

$2 \sqrt{2} \cdot 2$

Multiply $2$ by $2$ .

$4 \sqrt{2}$

The result can be shown in multiple forms.

Exact Form:

$4 \sqrt{2}$

Decimal Form:

$5.65685424 \dots$

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