Find the sum of the expression
(A) 7
(B) 8
(C) 9
(D) 10
Answer: (B)
Explanation: The Series can be re-written as
(√2-√1)/(√2+√1)(√2-√1) + (√3-√2)/(√2+√2)(√3-√2) + ……….
which simplifies to
(√2-√1) + (√3-√2) + ….. (√81-√80)
which again simplifies to
√81 – √1
which is 8
Quiz of this Question