Simplify square root of 96x^2

$\sqrt{96 x^{2}}$

Step 1

Rewrite $96 x^{2}$ as ${(4 x)}^{2} \cdot 6$ .

Factor $16$ out of $96$ .

$\sqrt{16 (6) x^{2}}$

Rewrite $16$ as $4^{2}$ .

$\sqrt{4^{2} \cdot 6 x^{2}}$

Move $6$ .

$\sqrt{4^{2} x^{2} \cdot 6}$

Rewrite $4^{2} x^{2}$ as ${(4 x)}^{2}$ .

$\sqrt{{(4 x)}^{2} \cdot 6}$

$\sqrt{{(4 x)}^{2} \cdot 6}$

Step 2

Pull terms out from under the radical.

$4 x \sqrt{6}$

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