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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