Simplify \(\frac{2\sqrt{3} + 3\sqrt{5}}{3\sqrt{5} - 2\sqrt{3}}\)
Correct Option:
B
\(\frac{(2\sqrt{3} + 3\sqrt{5})(3\sqrt{5} + 2\sqrt{3})}{(3\sqrt{5} - 2\sqrt{3})(3\sqrt{5} - 2\sqrt{3})}\)
= \(\frac{5 + 12\sqrt{15}}{33}\)
=\(\frac{19 + 4\sqrt{15}}{11}\)
= \(\frac{5 + 12\sqrt{15}}{33}\)
=\(\frac{19 + 4\sqrt{15}}{11}\)