I have no idea how to begin this proof. 1. The problem statement, all variables and given/known data Prove that for every rational number z, there exist irrational numbers x and y such that x + y = z. 3. The attempt at a solution I can't think of even a way to start this proof...it's just quite obvious that the sum of two irrational numbers will equal a rational number, somehow.... Please give me some pointers to start this proof with.