Simplify - square root of 75

$- \sqrt{75}$

Step 1

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

Factor $25$ out of $75$ .

$- \sqrt{25 (3)}$

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

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

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

Step 2

Pull terms out from under the radical.

$- (5 \sqrt{3})$

Step 3

Multiply $5$ by $- 1$ .

$- 5 \sqrt{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- 5 \sqrt{3}$

Decimal Form:

$- 8.66025403 \dots$

Related Questions