Simplify \(\frac{2\sqrt{3} + 3\sqrt{5}}{3\sqrt{5} – 2\sqrt{3}}\)
- \(\frac{19 + 4\sqrt{25}}{11}\)
-
\(\frac{19 + 4\sqrt{15}}{11}\)
- \(\frac{19 + 2\sqrt{15}}{11}\)
- \(\frac{19 + 2\sqrt{15}}{19}\)
The correct answer is: B
Explanation
\(\frac{(2\sqrt{3} + 3\sqrt{5})(3\sqrt{5} + 2\sqrt{3})}{(3\sqrt{5} - 2\sqrt{3})(3\sqrt{5} - 2\sqrt{3})}\)= \(\frac{5 + 12\sqrt{15}}{33}\)
=\(\frac{19 + 4\sqrt{15}}{11}\)