Question

why x is an irrational number​

Answer 1

because it is not in p/q form...

it Changes according to the x value....

Answer 2

$\bf\large\underline\green{Answer:-}$

But you know (from our first proof) that c/d - a/b is a rational number. So, x is a rational number AND x is an irrational number. Contradiction! Therefore, our assumption that a rational + an irrational = rational is false.