No - the sum of any two rational numbers is still rational:
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Any, and every, irrational number will do.
The sum of two irrational numbers may be rational, or irrational.
It is always an irrational number.
Yes.
Let `a` be a rational number and `b` be an irrational number,assume that the sum is rational. 1.a +b =c Where a and c are rational and b is irrational. 2.b=c-a Subtracting the same number a from each side. 3.b is irrational c-a is a rational number we arrived at a contradiction. So the sum is an irrational number.