How do you proof that sqrt(2) is irrational?
I tried this,
p/q = sqrt(2)
p^2/q^2=2
p^2=2q^2
let p = q * sqrt(2) , (equation from top one)
(q*sqrt(2))^2=2q^2
2q^2=2q^2,
q=q

Is anything wrong or does this also prove that sqrt(2) is irrational, if so how?