SOLUTION: please!!!!!!!! {{{(1/(sqrt(1) + sqrt(2)))+(1/(sqrt(2) + sqrt(3)))+(1/(sqrt(3) + sqrt(4)))+(1/(sqrt(4) + sqrt(5)))}}}...{{{(1/(sqrt(99) + sqrt(100)))}}}

Algebra ->  Linear-equations -> SOLUTION: please!!!!!!!! {{{(1/(sqrt(1) + sqrt(2)))+(1/(sqrt(2) + sqrt(3)))+(1/(sqrt(3) + sqrt(4)))+(1/(sqrt(4) + sqrt(5)))}}}...{{{(1/(sqrt(99) + sqrt(100)))}}}      Log On


   

Question 72435: please!!!!!!!!

...%281%2F%28sqrt%2899%29+%2B+sqrt%28100%29%29%29
Answer by psbhowmick(878) About Me  (Show Source):
You can put this solution on YOUR website!
...%281%2F%28sqrt%2899%29+%2B+sqrt%28100%29%29%29

= ...

= ...%28%28sqrt%28100%29+-+sqrt%2899%29%29%2F%28100+-99%29%29________[since %28a%2Bb%29%28a-b%29+=+a%5E2+-+b%5E2]

= ...%28%28sqrt%28100%29+-+sqrt%2899%29%29%2F1%29

= ...%28sqrt%28100%29+-+sqrt%2899%29%29

= sqrt%28100%29+-+sqrt%281%29

= 10+-+1

= 9