Simplify square root of 128x^2

$\sqrt{128 x^{2}}$

Step 1

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

Factor $64$ out of $128$ .

$\sqrt{64 (2) x^{2}}$

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

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

Move $2$ .

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

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

$\sqrt{{(8 x)}^{2} \cdot 2}$

$\sqrt{{(8 x)}^{2} \cdot 2}$

Step 2

Pull terms out from under the radical.

$8 x \sqrt{2}$

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