Simplify -4 square root of 192x

$- 4 \sqrt{192 x}$

Step 1

Rewrite $192 x$ as $8^{2} \cdot (3 x)$ .

Factor $64$ out of $192$ .

$- 4 \sqrt{64 (3) x}$

Rewrite $64$ as $8^{2}$ .

$- 4 \sqrt{8^{2} \cdot 3 x}$

Add parentheses.

$- 4 \sqrt{8^{2} \cdot (3 x)}$

$- 4 \sqrt{8^{2} \cdot (3 x)}$

Step 2

Pull terms out from under the radical.

$- 4 (8 \sqrt{3 x})$

Step 3

Multiply $8$ by $- 4$ .

$- 32 \sqrt{3 x}$

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