Simplify square root of 192

$\sqrt{192}$

Step 1

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

Factor $64$ out of $192$ .

$\sqrt{64 (3)}$

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

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

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

Step 2

Pull terms out from under the radical.

$8 \sqrt{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$8 \sqrt{3}$

Decimal Form:

$13.85640646 \dots$

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