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Math Help - The addition of irrational numbers.

  1. #1
    Member integral's Avatar
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    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?
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  2. #2
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    Re: The addition of irrational numbers.

    Quote Originally Posted by integral View Post
    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.
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