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 \(\sqrt{6}\)
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\(\sqrt{6}\)
\(\frac{10 - 4\sqrt{6}}{2}\) = 5 - 2\(\sqrt{6}\)
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