Correct Answer - D
`(sqrt(6)+2)/(sqrt(2)+sqrt(2+sqrt(3)))-(sqrt(6)-2)/(sqrt(2)-sqrt(2-sqrt(3)))-(2sqrt(2))/(2+sqrt(2))`
`implies(sqrt(6)+2)/(sqrt(2)+(sqrt(3)+1)/(sqrt(2)))-(sqrt(6)-2)/(sqrt(2)-(sqrt(3)-1)/(sqrt(2)))-2/(sqrt(2)+1)`
`implies ((sqrt(6)+2)sqrt(2))/(2+sqrt(3)+1)-((sqrt(6)-2)sqrt(2))/(2-sqrt(3)+1)-2/(sqrt(2+1)`
`(sqrt(2))/(sqrt(3))[(sqrt(6)+2)/((sqrt(3)+1))-(sqrt(6)_2)/((sqrt(3)-1))]-2/(sqrt(2)+1)xx(sqrt(2)-1)/(sqrt(2)-1)`
`(sqrt(2))/(sqrt(3))[(sqrt918)+2sqrt(3)-sqrt(6)-2-sqrt(18)+2sqrt(3)-sqrt(6)+2)/(3-1)`
`-((sqrt(2)-1))/(2-1)`
`implies(sqrt(2))/(sqrt(3))[2((-sqrt(6)+2sqrt(3)))/2]-2(sqrt(2)-1)`
`implies-sqrt(3)xxsqrt(2)xx(sqrt(2))/(sqrt(3))+2sqrt(3)xx(sqrt(2))/(sqrt(3)-2(sqrt(2)-1)`
`implies-2+2sqrt(2)-2sqrt(2)+2=0`
