Question on: JAMB Mathematics - 1997
Simplify (\frac{2\sqrt{3} + 3\sqrt{5}}{3\sqrt{5} - 2\sqrt{3}})
A
\(\frac{19 + 4\sqrt{25}}{11}\)
B
\(\frac{19 + 4\sqrt{15}}{11}\)
C
\(\frac{19 + 2\sqrt{15}}{11}\)
D
\(\frac{19 + 2\sqrt{15}}{19}\)
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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})
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