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15 August, 03:00

X + y is rational, must x and y each be rational

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Answers (2)
  1. 15 August, 03:20
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    The rationals are closed under addition, so if x, y are rational then x+y must be rational since Q is a group under addition.
  2. 15 August, 03:21
    0
    Yes because x and y must be integers
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