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

1 Answer
Aug 16, 2016

Answer:

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!