Correct Answer - A
`(sqrt(5+2sqrt(6))-1/(sqrt(5+2sqrt(6)))`
`implies (sqrt(3)+sqrt(2))-1/((sqrt(3)+sqrt(2)))`
`[(sqrt(5+2sqrt(6))=sqrt((sqrt(3)+sqrt(2))^(2))impliessqrt(3)+sqrt(2)),(a^(2)+b^(2)+2ab=(a+b)^(2))]`
`impliessqrt(3)+sqrt(2)-(1/(sqrt(3)+sqrt(2))xx(sqrt(3)-sqrt(2))/(sqrt(3)-sqrt(2)))`
`impliessqrt(3)+sqrt(2)-((sqrt(3)-sqrt(2))/(3-2))`
`impliessqrt(3)+sqrt(2)-sqrt(3)+sqrt(2)`
`implies 2sqrt(2)`
