# How do you simplify sqrt(30/77)?

May 31, 2017

sqrt(30/77)=color(blue)(sqrt(2310)/77

#### Explanation:

Simplify:

$\sqrt{\frac{30}{77}}$

Simplify.

$\frac{\sqrt{30}}{\sqrt{77}}$

Rationalize the denominator by multiplying the numerator and denominator by $\sqrt{77}$.

$\frac{\sqrt{30} \sqrt{77}}{\sqrt{77} \sqrt{77}}$

Simplify.
$\frac{\sqrt{30} \sqrt{77}}{77}$

Multiply $\sqrt{30} \times \sqrt{77}$.

$\frac{\sqrt{2310}}{77}$