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

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

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User Beyondtheteal
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7.8k points

2 Answers

3 votes
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.
answered
User SunChero
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7.8k points
3 votes
Yes because x and y must be integers
answered
User Mukesh Rana
by
8.3k points
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