Simplify square root of 260

$\sqrt{260}$

Step 1

Rewrite $260$ as $2^{2} \cdot 65$ .

Factor $4$ out of $260$ .

$\sqrt{4 (65)}$

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

$\sqrt{2^{2} \cdot 65}$

$\sqrt{2^{2} \cdot 65}$

Step 2

Pull terms out from under the radical.

$2 \sqrt{65}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt{65}$

Decimal Form:

$16.12451549 \dots$

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