सरल करें:
`1/(sqrt(100)-sqrt(99))-1/(sqrt(99)-sqrt(98))`
`+1/(sqrt(98)-sqrt(97))-1/(sqrt(97)-sqrt(96))`
`+………..+1/(sqrt(2)-sqrt(1))`

( Simplify: )/(sqrt(100)-sqrt(99))-(1)/(sqrt(99)-sqrt(98))+(1)/(sqrt(98)-sqrt(97))-(1)/(sqrt(97)-sqrt(96))+backslash+(1)/(sqrt(2)-sqrt(1))

(1)/(sqrt(7)-sqrt(2))-(1)/(sqrt(7)+sqrt(2))=

1/(1-sqrt(2))+ 1/(sqrt(2)-sqrt(3))+1/(sqrt(3)-sqrt(4))+..........+1/(sqrt(8)-sqrt(9))

(1)/(sqrt(2)+sqrt(3))+(1)/(sqrt(3)+sqrt(4))

(1)/(sqrt(9)-sqrt(8))-(1)/(sqrt(8)-sqrt(7))+(1)/(sqrt(7)-sqrt(6))-(1)/(sqrt(6)-sqrt(5))+(1)/(sqrt(5)-sqrt(4))=?

What is the value of (1/(sqrt(9) - sqrt(8)) - 1/(sqrt(8) - sqrt(7)) + 1/(sqrt(7) - sqrt(6)) - 1/(sqrt(6) - sqrt(5)) + 1/(sqrt(5) - sqrt(4))) ?