A) Yes; because the quotient of rationals is rational.
B) No; because x and y could have a common irrational factor.
C) No; because the quotient of irrationals is always irrational.
D) Yes; because x and y must be integers, and integers are rational.
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Home » Mathematics » If x/y is rational, must x and y each be rational? A) Yes; because the quotient of rationals is rational. B) No; because x and y could have a common irrational factor. C) No; because the quotient of irrationals is always irrational.