Prove that any real number can be expressed as the sum of two irrational numbers – math.stackexchange.com

Prove that any real number can be expressed as the sum of two irrational numbers – math.stackexchange.com

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Prove that any real number $r$ can be expressed as the sum of two irrational numbers $x$ and $y$. Progress: I have a specific example for any rational number $r$: $x = r-\pi$ and $y = \pi$ (or ...

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