A) \[\sqrt{3}+\sqrt{2}\]
B) \[\frac{\sqrt{3}}{\left( 3-\sqrt{6} \right)}\]
C) \[\left( \sqrt{3}-\sqrt{2} \right)/\left( 5-2\sqrt{6} \right)\]
D) \[\left( \frac{\sqrt{4}}{\sqrt{10}-\sqrt{8}} \right)\]
Correct Answer: D
Solution :
(d): From \[\frac{1}{\sqrt{3}-\sqrt{2}},\] (a) is obtained by multiplying numerator and denominator by\[\left( \sqrt{3}+\sqrt{2} \right)\] (b) is obtained by multiplying numerator and denominator by \[\sqrt{3}\] (c) is obtained by multiplying numerator and denominator by \[\left( \sqrt{3}-\sqrt{2} \right)\] But (d) cannot be obtained.
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