Prove that root2+1/root2 is irrational number

1.	Prove that root2+1/root2 is irrational number
Answer» √2+1/√2 =3/√2 =3√2/2Let us assume that √2+1/√2 is rational. Then there must exist two positive co primes a and b such that√2+1/√2=a/b=>3√2/2=a/b2a/3b=√2 which is a contradiction.Hence, √2+1/√2 is irrational.

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