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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