1. The problem statement, all variables and given/known data Prove that 5^(2/3) is irrational 2. Relevant equations 3. The attempt at a solution I tried writing a proof but that is not getting me any where. This is what I did so far - Show that 52/3 is irrational Proof: Suppose that 52/3 is rational: 52/3 = a/b 52/33/2 = a3/2/b3/2 5(b3/2) = a3/2 Substitute a = 2n + 1, b = 2m + 1; I don't know if I'm suppose to do like this?