Simplify square root of 375

$\sqrt{375}$

Step 1

Rewrite $375$ as $5^{2} \cdot 15$ .

Factor $25$ out of $375$ .

$\sqrt{25 (15)}$

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

$\sqrt{5^{2} \cdot 15}$

$\sqrt{5^{2} \cdot 15}$

Step 2

Pull terms out from under the radical.

$5 \sqrt{15}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$5 \sqrt{15}$

Decimal Form:

$19.36491673 \dots$

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