Question

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.
D) Yes; because x and y must be integers, and integers are rational.

Answer 1

B) No; because x and y could have a common irrational factor.

Explanation:

The above answer speaks for itself.

An example is (√27)/(√3) = 3, the ratio of two irrational numbers with a common irrational factor.