I am trying to prove sqrt(3) is irrational. I figured I would do it the same way that sqrt(2) is irrational is proved: Assume sqrt(2)=p/q You square both sides. and you get p^2 is even, therefore p is even. Also q^2 is shown to be even along with q. This leads to a contradiction. However doing this with sqrt(3), you get 3q^2=p^2. Now you can't show p^2 is even.Also now I am stuck. How do I continue from here?