Math Help - The addition of irrational numbers.

1. The addition of irrational numbers.

I'm actually not sure where this question would go but number theory seemed the best fit.

Say you have two irrational numbers a and b.
a is not the additive inverse of b and a is not the conjugate of b (I.e. (2+sqrt(2)) and (2-(sqrt(2))).

Can a+b be rational given these conditions?

2. Re: The addition of irrational numbers.

Originally Posted by integral
Say you have two irrational numbers a and b.
a is not the additive inverse of b and a is not the conjugate of b (I.e. (2+sqrt(2)) and (2-(sqrt(2))). Can a+b be rational given these conditions?
Let $a=3+\sqrt2~\&~b=2-\sqrt2$.