Simplify square root of 250

$\sqrt{250}$

Rewrite $250$ as $5^{2} \cdot 10$ .

Factor $25$ out of $250$ .

$\sqrt{25 (10)}$

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

$\sqrt{5^{2} \cdot 10}$

$\sqrt{5^{2} \cdot 10}$

Pull terms out from under the radical.

$5 \sqrt{10}$

The result can be shown in multiple forms.

Exact Form:

$5 \sqrt{10}$

Decimal Form:

$15.81138830 \dots$

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