Evaluate square root of 171

$\sqrt{171}$

Rewrite $171$ as $3^{2} \cdot 19$ .

Factor $9$ out of $171$ .

$\sqrt{9 (19)}$

Rewrite $9$ as $3^{2}$ .

$\sqrt{3^{2} \cdot 19}$

$\sqrt{3^{2} \cdot 19}$

Pull terms out from under the radical.

$3 \sqrt{19}$

The result can be shown in multiple forms.

Exact Form:

$3 \sqrt{19}$

Decimal Form:

$13.07669683 \dots$

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