Simplify square root of 425

$\sqrt{425}$

Step 1

Rewrite $425$ as $5^{2} \cdot 17$ .

Factor $25$ out of $425$ .

$\sqrt{25 (17)}$

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

$\sqrt{5^{2} \cdot 17}$

$\sqrt{5^{2} \cdot 17}$

Step 2

Pull terms out from under the radical.

$5 \sqrt{17}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$5 \sqrt{17}$

Decimal Form:

$20.61552812 \dots$

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