I have a home work question that asks me to prove by contraposition that for all positive real numbers that if x is irrational, then x^1/2 is also irrational.
So far I have the Contrapositive of for all positive real numbers, x^1/2 is rational then x is rational. Which means (x^1/2)/1. But this is where I am stuck. I don't know what to do with it beyond that.
Can anyone give me even just a hint? Thank you in advance.