1. The problem statement, all variables and given/known data Let a be a positive real number. Prove that if a is irrational, then √a is irrational. Is the converse true? 2. Relevant equations So, an irrational number is one in which m=q/p does not exist. I understand that part, but then trying to show that the square root of an irrational number is irrational is giving me problems. I would think this needs to be done by contradicition Thanks!!!