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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.
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