What is the conjugate of $\; \large\frac{\sqrt{5+12 i } +\sqrt{5-12 i } } {\sqrt{5+12 i } -\sqrt{5-12 i } }$

Question

$(a)\;0 + \large\frac{3}{2} i\qquad(b)\;1 - \large\frac{\sqrt{7}}{2} i\qquad(c)\;1 - \large\frac{\sqrt{5}}{16} i\qquad(d)\;0 - \large\frac{\sqrt{5}}{2} i$