Simplify square root of 54x

$\sqrt{54 x}$

Step 1

Rewrite $54 x$ as $3^{2} \cdot (6 x)$ .

Factor $9$ out of $54$ .

$\sqrt{9 (6) x}$

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

$\sqrt{3^{2} \cdot 6 x}$

Add parentheses.

$\sqrt{3^{2} \cdot (6 x)}$

$\sqrt{3^{2} \cdot (6 x)}$

Step 2

Pull terms out from under the radical.

$3 \sqrt{6 x}$

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