Simplify square root of 175

$\sqrt{175}$

Step 1

Rewrite $175$ as $5^{2} \cdot 7$ .

Factor $25$ out of $175$ .

$\sqrt{25 (7)}$

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

$\sqrt{5^{2} \cdot 7}$

$\sqrt{5^{2} \cdot 7}$

Step 2

Pull terms out from under the radical.

$5 \sqrt{7}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$5 \sqrt{7}$

Decimal Form:

$13.22875655 \dots$

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