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

1 Answer
Gió
Jul 19, 2015

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

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