Simplify square root of 325

$\sqrt{325}$

Step 1

Rewrite $325$ as $5^{2} \cdot 13$ .

Factor $25$ out of $325$ .

$\sqrt{25 (13)}$

Rewrite $25$ as $5^{2}$ .

$\sqrt{5^{2} \cdot 13}$

$\sqrt{5^{2} \cdot 13}$

Step 2

Pull terms out from under the radical.

$5 \sqrt{13}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$5 \sqrt{13}$

Decimal Form:

$18.02775637 \dots$

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