If x and y are rational but xy is irrational, what is true?
Not possible
The set of rational numbers is closed under multiplication: if x and y are both rational, then their product xy is always rational.
This is because a rational number can be written as a ratio of integers, and the product of two such ratios is again a ratio of integers.
So it is impossible for x and y to both be rational while their product xy is irrational; this situation cannot occur.
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