Question on: JAMB Physics - 2010
Rationalize ( \frac{2\sqrt{3}} + \sqrt{5} \sqrt{5} - \sqrt{3} )
A
3√15 - 11
B
\(\frac{3\sqrt {15} - 11}{2}\)
C
3√15 + 11
D
\(\frac{3\sqrt {15} + 11}{2}\)
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Correct Option: D
(\frac{2\sqrt{3}} + \sqrt{5}}{\sqrt{5} - \sqrt{3}) = (\frac{\sqrt{5}} + 2\sqrt{3}}{\sqrt{5} - \sqrt{3}) x (\frac{\sqrt{5}} + \sqrt{3}}{\sqrt{5} + \sqrt{3})
(\frac{5 + \sqrt{15} + 2\sqrt{15} + 2 \times 3}{(\sqrt{5} - \sqrt{3})^2)
= (\frac{5 + 3\sqrt{15} +6} {5 - 3))
= (\frac{11 + 3\sqrt{15}}{2})
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