SOLUTION: Prove the sum of two rational numbers is rational, using real analysis

Question 488289: Prove the sum of two rational numbers is rational, using real analysis
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Real analysis would assert that the rational numbers form an ordered field, and that the axiom of closure is satisfied (e.g. the sum of two rational numbers is another rational number in the set).

It is also very easy to prove this without any sort of analysis. Just let a/b and c/d be your two rational numbers, and

, also a rational number.
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