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If a(1), a(2), a(3), a(4) are in AP, th...

If `a_(1), a_(2), a_(3), a_(4)` are in AP, then `(1)/(sqrt(a_(1)) + sqrt(a_(2))) + (1)/(sqrt(a_(2)) + sqrt(a_(3))) + (1)/(sqrt(a_(3)) + sqrt(a_(4)))` is equal to

A

`(sqrt(a_(4)) - sqrt(a_(1)))/(a_(3) - a_(2))`

B

`(a_(4) - a_(1))/(a_(3)- a_(2))`

C

`(a_(3)-a_(2))/(sqrt(a_(4)) - sqrt(a_(1)))`

D

`(a_(1) - a_(4))/(a_(3) - a_(1))`

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The correct Answer is:
A
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