Divide: (sqrt(5) + 3) / (sqrt(5) - 3)

Question

A: -17/2+(3/2) sqrt(5)

B: -7/2 - (3/2) sqrt(5)

C: 7/2 - (3/2) sqrt(5)

D: 7/2 + (3/2) sqrt(5)

E: 1 - (3/2) sqrt(5)

Answer 1

You must rationalize the denominator by multiplying both numerator & denominator by the conjugate of the denominator (sqrt(5)  + 3).  The result is C.