Simplify square root of 350

$\sqrt{350}$

Step 1

Rewrite $350$ as $5^{2} \cdot 14$ .

Factor $25$ out of $350$ .

$\sqrt{25 (14)}$

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

$\sqrt{5^{2} \cdot 14}$

$\sqrt{5^{2} \cdot 14}$

Step 2

Pull terms out from under the radical.

$5 \sqrt{14}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$5 \sqrt{14}$

Decimal Form:

$18.70828693 \dots$

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