Can you add an irrational number and a rational number?

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November 15, 2008 5:20AM

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.