Question

Proof that 3-√2 is irrational

Answer 1

If possible, let us take (3- root 2) as rational; then,

{(3-root2)-3} is also rational

or, (- root 2) is also rational

This convicts the fact that (- root 2) is irrational. This conviction arises by taking (3-root 2) rational.

Hence, it is proved that (3-root 2) is irrational.

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