Question

Prove that x square = 6 is irrational .

Answer 1

Answer:

a/b = square root of 6. But this last statement means the RHS (right hand side) is even, because it is a product of integers and one of those integers (at least) is even. ... Then our initial assumption must be false, so the square root of 6 cannot be rational. There you have it: a rational proof of irrationality.