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Simplify \(\frac{2\sqrt{3} + 3\sqrt{5}}{3\sqrt{5} - 2\sqrt{3}}\)

Mathematics
JAMB 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 Answer: Option B
Explanation

\(\frac{(2\sqrt{3} + 3\sqrt{5})(3\sqrt{5} + 2\sqrt{3})}{(3\sqrt{5} - 2\sqrt{3})(3\sqrt{5} - 2\sqrt{3})}\)

= \(\frac{57 + 12\sqrt{15}}{33}\)

=\(\frac{19 + 4\sqrt{15}}{11}\)


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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts