Simplify (frac{2sqrt{3} + 3sqrt{5}}{3sqrt{5} – 2sqrt{3}})
-
A.
(frac{19 + 4sqrt{25}}{11}) -
B.
(frac{19 + 4sqrt{15}}{11}) -
C.
(frac{19 + 2sqrt{15}}{11}) -
D.
(frac{19 + 2sqrt{15}}{19})
Correct Answer: Option B
Explanation
(frac{(2sqrt{3} + 3sqrt{5})(3sqrt{5} + 2sqrt{3})}{(3sqrt{5} – 2sqrt{3})(3sqrt{5} – 2sqrt{3})})
= (frac{5 + 12sqrt{15}}{33})
=(frac{19 + 4sqrt{15}}{11})