Simplify square root of 8x^2

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

Step 1

Rewrite $8 x^{2}$ as ${(2 x)}^{2} \cdot 2$ .

Factor $4$ out of $8$ .

$\sqrt{4 (2) x^{2}}$

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

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

Move $2$ .

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

Rewrite $2^{2} x^{2}$ as ${(2 x)}^{2}$ .

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

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

Step 2

Pull terms out from under the radical.

$2 x \sqrt{2}$

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