question_answer

Express \[\frac{{{(4+\sqrt{15})}^{\frac{3}{2}}}+{{(4-\sqrt{15})}^{\frac{3}{2}}}}{{{(6+\sqrt{35})}^{\frac{3}{2}}}-{{(6-\sqrt{35})}^{\frac{3}{2}}}}\] in rational form.

A)  \[\frac{13}{7}\]                        

B)  \[\frac{7}{15}\]

C)  \[\frac{7}{13}\]

D)  \[\frac{2}{5}\]

E)  None of these