3^1/3 = p/q where q and p are whole numbers. I get 3=p^3 /q^3. from there I say that 3q^3 = p^3 and if p is a whole number then p^3 is a perfect cube. and 3q^3 cant be a perfect cube and there I have shown that it's not rational. can you guys show me another way I don't really like the perfect cube argument.