Simplify square root of 75

$\sqrt{75}$

Rewrite $75$ as $5^{2} \cdot 3$ .

Factor $25$ out of $75$ .

$\sqrt{25 (3)}$

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

$\sqrt{5^{2} \cdot 3}$

$\sqrt{5^{2} \cdot 3}$

Pull terms out from under the radical.

$5 \sqrt{3}$

The result can be shown in multiple forms.

Exact Form:

$5 \sqrt{3}$

Decimal Form:

$8.66025403 \dots$

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