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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