Simplify - square root of 65/121

$- \sqrt{\frac{65}{121}}$

Step 1

Rewrite $\sqrt{\frac{65}{121}}$ as $\frac{\sqrt{65}}{\sqrt{121}}$ .

$- \frac{\sqrt{65}}{\sqrt{121}}$

Step 2

Simplify the denominator.

Rewrite $121$ as $11^{2}$ .

$- \frac{\sqrt{65}}{\sqrt{11^{2}}}$

Pull terms out from under the radical, assuming positive real numbers.

$- \frac{\sqrt{65}}{11}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$- \frac{\sqrt{65}}{11}$

Decimal Form:

$- 0.73293252 \dots$