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