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Rationalize \(\frac{\sqrt{6} - \sqrt{4}}{\sqrt{6} + \sqrt{4}}\)

Mathematics
JAMB 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 Answer: Option D
Explanation
\(\frac{\sqrt{6} - \sqrt{4}}{\sqrt{6} + \sqrt{4}}\) = \(\frac{6-2\sqrt{6} - 2\sqrt{6} + 4}{6 - 4}\)

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

There is an explanation video available below.


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Explanation Video

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