Simplify square root of 192s^2

$\sqrt{192 s^{2}}$

Step 1

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

Factor $64$ out of $192$ .

$\sqrt{64 (3) s^{2}}$

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

$\sqrt{8^{2} \cdot 3 s^{2}}$

Move $3$ .

$\sqrt{8^{2} s^{2} \cdot 3}$

Rewrite $8^{2} s^{2}$ as ${(8 s)}^{2}$ .

$\sqrt{{(8 s)}^{2} \cdot 3}$

$\sqrt{{(8 s)}^{2} \cdot 3}$

Step 2

Pull terms out from under the radical.

$8 s \sqrt{3}$

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