Simplify square root of -50x

$\sqrt{- 50 x}$

Step 1

Rewrite $- 50 x$ as $5^{2} \cdot (- 2 x)$ .

Factor $25$ out of $- 50$ .

$\sqrt{25 (- 2) x}$

Rewrite $25$ as $5^{2}$ .

$\sqrt{5^{2} \cdot - 2 x}$

Add parentheses.

$\sqrt{5^{2} \cdot (- 2 x)}$

$\sqrt{5^{2} \cdot (- 2 x)}$

Step 2

Pull terms out from under the radical.

$5 \sqrt{- 2 x}$

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