Evaluate square root of 188

$\sqrt{188}$

Step 1

Rewrite $188$ as $2^{2} \cdot 47$ .

Factor $4$ out of $188$ .

$\sqrt{4 (47)}$

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

$\sqrt{2^{2} \cdot 47}$

$\sqrt{2^{2} \cdot 47}$

Step 2

Pull terms out from under the radical.

$2 \sqrt{47}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt{47}$

Decimal Form:

$13.71130920 \dots$

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