सरल कीजिएः
`6/(2sqrt(3)-sqrt(6))+(sqrt(6))/(sqrt(3)+sqrt(2))-(4sqrt(3))/(sqrt(6)-sqrt(2))`

Explanation

प्रथम पदः `6/(2sqrt(3)-sqrt(6))=6/(2sqrt(3)-sqrt(6))xx(2sqrt(3)+sqrt(6))/(2sqrt(3)+sqrt(6))=(6(2sqrt(3)+sqrt(6)))/((2sqrt(3))^(2)-(sqrt(6))^(2))`
`=(6(2sqrt(3)+sqrt(6)))/(12-6)=2sqrt(3)=sqrt(6)`
द्वितीय पदः
`(sqrt(6))/(sqrt(3)+sqrt(2))=(sqrt(6))/(sqrt(3)+sqrt(2))xx(sqrt(3)-sqrt(2))/(sqrt(3)-sqrt(2))=(sqrt(18)-sqrt(12))/((sqrt(3))^(2)-(sqrt(2))^(2))`
`=(sqrt(9xx2)-sqrt(4xx3))/(3-2)=3sqrt(2)-2sqrt(3)`
तृतीय पदः `(4sqrt(3))/(sqrt(6)-sqrt(2))=(4sqrt(3))/(sqrt(6)-sqrt(2))xx(sqrt(6)+sqrt(2))/(sqrt(6)+sqrt(2))`
`=(4sqrt(18)+4sqrt(6))/((sqrt(6))^(2)-(sqrt(2))^(2))=(4sqrt(9xx2)+4sqrt(6))/(6-2)`
`=(4xx3sqrt(2)+4sqrt(6))/4=3sqrt(2)+sqrt(6)`
दिया हुआ व्यंजक `=2sqrt(3)+sqrt(6)+3sqrt(2)-2sqrt(3)-3sqrt(2)-sqrt(6)=0`