Question

What is the simplest radical form of `sqrt(7) / sqrt(20)`?

Answer 1

I found: `sqrt(35)/10`

Explanation:

We can try by rationalizing multiplying and dividing by `sqrt(2)` to get:
`sqrt(7)/sqrt(20)*sqrt(20)/sqrt(20)=`
`=(sqrt(7)*sqrt(20))/20=`
`=(sqrt(7)sqrt(5*4))/20=2(sqrt(7)sqrt(5))/20=sqrt(7*5)/10=`
`=sqrt(35)/10`