A) 9
B) 10
C) 11
D) None of the above
Correct Answer: A
Solution :
\[\frac{1}{\sqrt{2}+1}+\frac{1}{\sqrt{3}+\sqrt{2}}+...+\frac{1}{\sqrt{100}+\sqrt{99}}\] \[=\sqrt{2}-1+\sqrt{3}-\sqrt{2}+...+\sqrt{100}-\sqrt{99}\] \[=10-1=9\]You need to login to perform this action.
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