Question on: JAMB Mathematics - 2016
Rationalize (\frac{\sqrt{6} - \sqrt{4}}{\sqrt{6} + \sqrt{4}})
A
5 + 2 \(\sqrt{6}\)
B
5 - 4 \(\sqrt{6}\)
C
5 + 4 \(\sqrt{6}\)
D
5 - 2 \(\sqrt{6}\)
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Correct Option: D
(\frac{\sqrt{6} - \sqrt{4}}{\sqrt{6} + \sqrt{4}}) = (\frac{6-2\sqrt{6} - 2\sqrt{6} + 4}{6 - 4})
(\frac{10 - 4\sqrt{6}}{2}) = 5 - 2(\sqrt{6})
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