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If x + y is rational, must x and y each be rational?

If x + y is rational, must x and y each be rational?
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4 votes
If x + y is rational, must x and y each be rational?

User Kuklei
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1 Answer

5 votes
No.

If a rational number can be an integer, x and y could be 5.5 and .5, or something that adds up to (number).0. This means, if the two non-rational numbers add up, they could be irrational, but the result isn't.
User Leftbit
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