Simplify frac 2 sqrt 3 3 sqrt 5 3 sqrt 5 - 2 sq... - JAMB Mathematics 1997 Question
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
\(\frac{19 + 2\sqrt{15}}{19}\)
correct option: b
\(\frac{(2\sqrt{3} + 3\sqrt{5})(3\sqrt{5} + 2\sqrt{3})}{(3\sqrt{5} - 2\sqrt{3})(3\sqrt{5} - 2\sqrt{3})}\)
= \(\frac{5 + 12\sqrt{15}}{33}\)
=\(\frac{19 + 4\sqrt{15}}{11}\)
= \(\frac{5 + 12\sqrt{15}}{33}\)
=\(\frac{19 + 4\sqrt{15}}{11}\)
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