Simplify square root of 384

$\sqrt{384}$

Step 1

Rewrite $384$ as $8^{2} \cdot 6$ .

Factor $64$ out of $384$ .

$\sqrt{64 (6)}$

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

$\sqrt{8^{2} \cdot 6}$

$\sqrt{8^{2} \cdot 6}$

Step 2

Pull terms out from under the radical.

$8 \sqrt{6}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$8 \sqrt{6}$

Decimal Form:

$19.59591794 \dots$

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