Question

(root2-2)square is rational or irrational. how​

Answer 1

If possible, let us assume (root 2 - 2) be a rational number; then,

(root 2 - 2) + 2 = a rational number

or, root 2 = a rational number

This contradicts the fact that root 2 is irrational. The contradiction arises by taking ( root 2 - 2) rational.

Hence, it is clear that (root 2 - 2) is irrational.

HOPE THIS COULD HELP!!!