A) \[-10\]
B) 11
C) 14
D) 13
E) \[-8\]
Correct Answer: E
Solution :
We have \[\frac{1}{\sqrt{10}-\sqrt{9}}-\frac{1}{\sqrt{11}-\sqrt{10}}+\frac{1}{\sqrt{12}-\sqrt{11}}\] \[-....-\frac{1}{\sqrt{121}-\sqrt{120}}\] \[=\sqrt{10}+\sqrt{9}-\sqrt{11}-\sqrt{10}+\sqrt{12}+\sqrt{11}\] \[-.....-\sqrt{121}-\sqrt{120}\] \[=\sqrt{9}-\sqrt{121}=3-11=-8\]
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