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The sum of the series (1)/(sqrt1+sqrt2)+...

The sum of the series `(1)/(sqrt1+sqrt2)+ (1)/(sqrt2+ sqrt3)+ ...+ (1)/(sqrt(n)+sqrt(n+1))` is equal to-

A

`(2n+1)/(sqrtn)`

B

`n-1`

C

`sqrt(n+1)-1`

D

`(n+sqrt(n+1))/(2sqrtn)`

Text Solution

Verified by Experts

The correct Answer is:
C
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