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 Answer: Option D
Explanation
(frac{sqrt{6} – sqrt{4}}{sqrt{6} + sqrt{4}}) = (frac{6-2sqrt{6} – 2sqrt{6} + 4}{6 – 4})
(frac{10 – 4sqrt{6}}{2}) = 5 – 2(sqrt{6})
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