Recent content by ckwn87

  1. C

    For every rational number, there exists sum of two irrational numbers

    Hmm, you're right, I don't think contraposition will help. I'm not sure what you mean by guess and check. Since it says for ALL Z, I'm not sure how I would generalize a sum of two irrational numbers.
  2. C

    For every rational number, there exists sum of two irrational numbers

    Homework Statement Prove: For every rational number z, there exists irrational numbers x and y such that x + y = z. Homework Equations by definition, a rational number can be represented by ratio of two integers, p/q. The Attempt at a Solution Is there a way to do this by...