# How do you simplify sqrt(7/5)?

##### 1 Answer
Aug 16, 2016

I am not sure it is going to be simpler but...

#### Explanation:

Let us write:
$\sqrt{\frac{7}{5}} = \frac{\sqrt{7}}{\sqrt{5}} =$
rationalize it:
$= \frac{\sqrt{7}}{\sqrt{5}} \cdot \frac{\sqrt{5}}{\sqrt{5}} = \frac{\sqrt{7} \sqrt{5}}{5} = \frac{\sqrt{7 \cdot 5}}{5} = \frac{\sqrt{35}}{5}$

It is not an incredible simplification of the original but at least you can "see" some square root manipulations!