Question

If x/y

Answer 1

Answer: The answer is B.

Step-by-step explanation:

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

Answer 2

The answer is B.

Consider the fraction $\frac{6 \sqrt{5} }{\sqrt{5}}$.

Both the numerator and denominator, when by themselves, are irrational.

However, when they are divided, they result in the rational number $\frac{6 \sqrt{5} }{\sqrt{5}}=\boxed{6}$.

When $p,q$ have the same irrational factor, the irrational factor will be cancelled from the fraction and (possibly) leave a rational number.