It is proved that 3 is irrational

It is proved that 3 is irrational

Sqrt (3) is the root of three
Let sqrt (3) be a rational number and be counted as P / Q, P, Q coprime
So 3 = P * P / Q * q
3q*q=p*p
So p is a multiple of 3, which is 3L
Substituting Q * q = 3 * L * l
So q is also a multiple of 3, which contradicts P and Q