Prove that 3 + root 2 is irrational

1.	Prove that 3 + root 2 is irrational
Answer» Let\'s assume to the contrary that 3+root 2 is rational.Therefore converting it in the form a/b where a and b are co primes.therefore a/b =3+root2a/b-3=root2 Now since a and b are integers so a/b-3 is rational.Thus root 2 is rational.But it contradicts the fact that root 2 is irrational.This contradiction arouse due to incorrect assumption that 3+root 2 is rational.Thus 3+root 2 is irrational.

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