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

Options

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

Answer

C

Explanation

`(3sqrt(2))/(sqrt(6)+sqrt(3))-(2sqrt(6))/(sqrt(3)+1)+(2sqrt(3))/(sqrt(5)+2)`
`implies ((3sqrt(2))/(sqrt(6)+sqrt(3))xx((sqrt(6)-sqrt(3))/(sqrt(3)+1)xx(sqrt(3)-1)/(sqrt(3)-1))`
`+ (2sqrt(3))/(sqrt(6)+2)xx(sqrt(5)-2)/(sqrt(6)-2))`
`implies (3sqrt(2)(sqrt(6)-sqrt(3)))/3-((2sqrt(6)(sqrt(3)-1))/2)`
`+ (2sqrt(3)xx(sqrt(6)-2))/2`
`impliessqrt(12)-sqrt(6)-sqrt(18)+sqrt(6)+sqrt(18)-2sqrt(3)`
`impliessqrt(12)-2sqrt(3)implies2sqrt(3)-2sqrt(3)=0`