Can you add an irrational number and a rational number?
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.
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.