`(2/(sqrt(5)+sqrt(3))-3/(sqrt(6)-sqrt(3))+1/(sqrt(6)+sqrt(5)))` के बराबर है।

Options

A. `-2sqrt(6)`
B. `-2sqrt(5)`
C. `-2sqrt(3)`
D. `0`

Answer

C

Explanation

`[2/(sqrt(5)+sqrt(3))-3/(sqrt(6)-sqrt(3))+1/(sqrt(6)+sqrt(5))]`
`implies2/(sqrt(5)+sqrt(3))xx(sqrt(5)-sqrt(3))/(sqrt(5)-sqrt(3))-`
`3/(sqrt(6)-sqrt(3))xx(sqrt(6)+sqrt(3))/(sqrt(6)+sqrt(3))`
`+1/(sqrt(6)+sqrt(5))xx(sqrt(6)-sqrt(5))/(sqrt(6)-sqrt(5))`
`implies(2(sqrt(5)-sqrt(3)))/(5-3)-(3(sqrt(6)-sqrt(5)))/(6-5)`
`impliessqrt(5)-sqrt(3)-sqrt(5)-sqrt(3)+sqrt(6)-sqrt(5)`
`implies-2sqrt(3)`