The sum of the series \[\frac{1}{\sqrt{1}+\sqrt{2}}+\frac{1}{\sqrt{2}+ – McqOptions

MCQOPTIONS

1.	The sum of the series \[\frac{1}{\sqrt{1}+\sqrt{2}}+\frac{1}{\sqrt{2}+\sqrt{3}}+\frac{1}{\sqrt{3}+\sqrt{4}}+...+\frac{1}{\sqrt{{{n}^{2}}-1}+\sqrt{{{n}^{2}}}}\]equals [AMU 2002]
A.	\[\frac{(2n+1)}{\sqrt{n}}\]
B.	\[\frac{\sqrt{n}+1}{\sqrt{n}+\sqrt{n-1}}\]
C.	\[\frac{(n+\sqrt{{{n}^{2}}-1})}{2\sqrt{n}}\]
D.	\[n-1\]
Answer» E.

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