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

= \(\frac{5 + 12\sqrt{15}}{33}\)

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

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WAEC offline past questions - with all answers and explanations in one app - Download for free
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WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
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WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts