Question

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

Answer 1

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

Explanation:

Let us write:
`sqrt(7/5)=sqrt(7)/sqrt(5)=`
rationalize it:
`=sqrt(7)/sqrt(5)*sqrt(5)/sqrt(5)=(sqrt(7)sqrt(5))/5=sqrt(7*5)/5=sqrt(35)/5`

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