Square both sides of the equation resulting in p2 = 2q2. This means that p is an even number. So p = 2r and
Square both sides of the equation resulting in p2 = 2q2. This means that p is an even number. So p = 2r and
p2 = 4r2. Which means, p2 = 4r2 = 2q2. Thus q2 = 2r2 and q is also even. So we’ve arrived at an impossibility.