Simplify square root of 92

$\sqrt{92}$

Step 1

Rewrite $92$ as $2^{2} \cdot 23$ .

Factor $4$ out of $92$ .

$\sqrt{4 (23)}$

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

$\sqrt{2^{2} \cdot 23}$

$\sqrt{2^{2} \cdot 23}$

Step 2

Pull terms out from under the radical.

$2 \sqrt{23}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt{23}$

Decimal Form:

$9.59166304 \dots$

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