Simplify square root of 18x

$\sqrt{18 x}$

Step 1

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

Factor $9$ out of $18$ .

$\sqrt{9 (2) x}$

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

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

Add parentheses.

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

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

Step 2

Pull terms out from under the radical.

$3 \sqrt{2 x}$

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