Simplify square root of 768

$\sqrt{768}$

Rewrite $768$ as $16^{2} \cdot 3$ .

Factor $256$ out of $768$ .

$\sqrt{256 (3)}$

Rewrite $256$ as $16^{2}$ .

$\sqrt{16^{2} \cdot 3}$

$\sqrt{16^{2} \cdot 3}$

Pull terms out from under the radical.

$16 \sqrt{3}$

The result can be shown in multiple forms.

Exact Form:

$16 \sqrt{3}$

Decimal Form:

$27.71281292 \dots$

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