Simplify square root of 108x^2

$\sqrt{108 x^{2}}$

Step 1

Rewrite $108 x^{2}$ as ${(6 x)}^{2} \cdot 3$ .

Factor $36$ out of $108$ .

$\sqrt{36 (3) x^{2}}$

Rewrite $36$ as $6^{2}$ .

$\sqrt{6^{2} \cdot 3 x^{2}}$

Move $3$ .

$\sqrt{6^{2} x^{2} \cdot 3}$

Rewrite $6^{2} x^{2}$ as ${(6 x)}^{2}$ .

$\sqrt{{(6 x)}^{2} \cdot 3}$

$\sqrt{{(6 x)}^{2} \cdot 3}$

Step 2

Pull terms out from under the radical.

$6 x \sqrt{3}$

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