The answer is B.
Consider the fraction [tex] \frac{6 \sqrt{5} }{\sqrt{5}} [/tex].
Both the numerator and denominator, when by themselves, are irrational.
However, when they are divided, they result in the rational number [tex] \frac{6 \sqrt{5} }{\sqrt{5}}=\boxed{6}[/tex].
When [tex]p,q[/tex] have the same irrational factor, the irrational factor will be cancelled from the fraction and (possibly) leave a rational number.
