Evaluate square root of 176

$\sqrt{176}$

Step 1

Rewrite $176$ as $4^{2} \cdot 11$ .

Factor $16$ out of $176$ .

$\sqrt{16 (11)}$

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

$\sqrt{4^{2} \cdot 11}$

$\sqrt{4^{2} \cdot 11}$

Step 2

Pull terms out from under the radical.

$4 \sqrt{11}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$4 \sqrt{11}$

Decimal Form:

$13.26649916 \dots$

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