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Rationalize frac sqrt 6 - sqrt 4 sqrt 6 sqrt 4 - JAMB Mathematics 2016 Question

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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