Simplify square root of 12x^2

$\sqrt{12 x^{2}}$

Step 1

Rewrite $12 x^{2}$ as ${(2 x)}^{2} \cdot 3$ .

Factor $4$ out of $12$ .

$\sqrt{4 (3) x^{2}}$

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

$\sqrt{2^{2} \cdot 3 x^{2}}$

Move $3$ .

$\sqrt{2^{2} x^{2} \cdot 3}$

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

$\sqrt{{(2 x)}^{2} \cdot 3}$

$\sqrt{{(2 x)}^{2} \cdot 3}$

Step 2

Pull terms out from under the radical.

$2 x \sqrt{3}$

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