Evaluate square root of 172

$\sqrt{172}$

Step 1

Rewrite $172$ as $2^{2} \cdot 43$ .

Factor $4$ out of $172$ .

$\sqrt{4 (43)}$

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

$\sqrt{2^{2} \cdot 43}$

$\sqrt{2^{2} \cdot 43}$

Step 2

Pull terms out from under the radical.

$2 \sqrt{43}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt{43}$

Decimal Form:

$13.11487704 \dots$

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