`(1/(sqrt(9)-sqrt(8))-1/(sqrt(8)-sqrt(7))+1/(sqrt(7)-sqrt(6))-1/(sqrt(6)-sqrt(5)))` का सरलीकृत मान क्‍या है
A. `3-sqrt(5)`
B. `3`
C. `sqrt(5)`
D. `sqrt(5)-3`

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1 Answers

Correct Answer - A
`(1/(sqrt(9)-sqrt(8))-1/(sqrt(8)-sqrt(7))+1/(sqrt(7)-sqrt(6))-1/(sqrt(6)-sqrt(5)))`
`=sqrt(9)+sqrt(8)-sqrt(8)-sqrt(7)+sqrt(7)+sqrt(6)`
`-sqrt(6)-sqrt(5)=sqrt(9)-sqrt(5)=3-sqrt(5)`

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