`1/(sqrt(3.25)+sqrt(2.25))+1/(sqrt(4.25)+sqrt(3.25))+1/(sqrt(5.25)+sqrt(4.25))+1/(sqrt(6.25)+sqrt(5.25))` का मान ज्ञात करें।

Options

A. `1.00`
B. `1.25`
C. `1.50`
D. `2.25`

Answer

A

Explanation

`1/(sqrt(3.25)+sqrt(2.25))xx(sqrt(3.55)-sqrt(2.25))/(sqrt(3.25)-sqrt(2.25))`
`implies (sqrt(3.25)-sqrt(2.25))/(3.25-2.25)`
`impliessqrt(3.25)-sqrt(2.25)`……………i
Similarly : `1/(sqrt(4.25)+sqrt(3.25))`
`impliessqrt(4.25)-sqrt(3.25)`………….ii
`implies1/(sqrt(5.25)-sqrt(4.25))`
`impliessqrt(5.25)-sqrt(4.25)`..........iii
`implies1/(sqrt(6.25)+sqrt(5.25))`
`implies sqrt(6.25)-sqrt(5.25)`...........iv
`implies` Now add all them
`impliessqrt(3.25)-sqrt(2.25)+sqrt(4.25)-sqrt(3.25)`
`+sqrt(5.25)-sqrt(4.25)+sqrt(6.25)-sqrt(5.25)`
`implies sqrt(6.25)-sqrt(2.25)implies2.5-1.5=1`