Simplify square root of 24x

$\sqrt{24 x}$

Step 1

Rewrite $24 x$ as $2^{2} \cdot (6 x)$ .

Factor $4$ out of $24$ .

$\sqrt{4 (6) x}$

Rewrite $4$ as $2^{2}$ .

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

Add parentheses.

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

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

Step 2

Pull terms out from under the radical.

$2 \sqrt{6 x}$

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