Rationalize \(\frac{\sqrt{6} – \sqrt{4}}{\sqrt{6} + \sqrt{4}}\)
- 5 + 2 \(\sqrt{6}\)
- 5 - 4 \(\sqrt{6}\)
- 5 + 4 \(\sqrt{6}\)
-
5 - 2 \(\sqrt{6}\)
The correct answer is: 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\(\sqrt{6}\)
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