question_answer

If \[\frac{6+\sqrt{5}}{6-\sqrt{5}}=\frac{a+b\sqrt{5}}{31}\], then which one of the following represents the values of a and b?

A) a = 41 and b = 12

B) a = 25 and b = 13

C) a = 36 and b = 5

D) a = 14 and b = 21

E) None of these