Simplify square root of 272

$\sqrt{272}$

Rewrite $272$ as $4^{2} \cdot 17$ .

Factor $16$ out of $272$ .

$\sqrt{16 (17)}$

Rewrite $16$ as $4^{2}$ .

$\sqrt{4^{2} \cdot 17}$

$\sqrt{4^{2} \cdot 17}$

Pull terms out from under the radical.

$4 \sqrt{17}$

The result can be shown in multiple forms.

Exact Form:

$4 \sqrt{17}$

Decimal Form:

$16.49242250 \dots$

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