Simplify square root of 18x^2

$\sqrt{18 x^{2}}$

Step 1

Rewrite $18 x^{2}$ as ${(3 x)}^{2} \cdot 2$ .

Factor $9$ out of $18$ .

$\sqrt{9 (2) x^{2}}$

Rewrite $9$ as $3^{2}$ .

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

Move $2$ .

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

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

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

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

Step 2

Pull terms out from under the radical.

$3 x \sqrt{2}$

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