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

User Jonathan Cast
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2 Answers

3 votes
No the answer is no
User Vikramsjn
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No. For example, x could be pi and y could be -pi. Both are irrational, yet they add up to 0, which is rational.
User Hebert
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