Simplify 12 square root of 60x^2

$12 \sqrt{60 x^{2}}$

Step 1

Rewrite $60 x^{2}$ as ${(2 x)}^{2} \cdot 15$ .

Factor $4$ out of $60$ .

$12 \sqrt{4 (15) x^{2}}$

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

$12 \sqrt{2^{2} \cdot 15 x^{2}}$

Move $15$ .

$12 \sqrt{2^{2} x^{2} \cdot 15}$

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

$12 \sqrt{{(2 x)}^{2} \cdot 15}$

$12 \sqrt{{(2 x)}^{2} \cdot 15}$

Step 2

Pull terms out from under the radical.

$12 (2 x \sqrt{15})$

Step 3

Multiply $2$ by $12$ .

$24 x \sqrt{15}$

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