Simplify x square root of 8

$x \sqrt{8}$

Step 1

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

Factor $4$ out of $8$ .

$x \sqrt{4 (2)}$

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

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

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

Step 2

Pull terms out from under the radical.

$x (2 \sqrt{2})$

Step 3

Move $2$ to the left of $x$ .

$2 x \sqrt{2}$

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