`(3sqrt(2))/(sqrt(3)+sqrt(6))-(4sqrt(3))/(sqrt(6)+sqrt(2))+(sqrt(6))/(sqrt(3)+sqrt(2))` का मान ज्ञात करें।

Options

A. `4`
B. `0`
C. `sqrt(2)`
D. `3sqrt(6)`

Answer

B

Explanation

`(3sqrt(2))/(sqrt(3)+sqrt(6))-(4sqrt(3))/(sqrt(6)+sqrt(2))+(sqrt(6))/(sqrt(3)+sqrt(2))`
(rationalisation)
`=(3sqrt(2))/(sqrt(3)+sqrt(6))xx(sqrt(6)-sqrt(3))/(sqrt(6)-sqrt(3))-(4sqrt(3))/(sqrt(6)+sqrt(2))xx(sqrt(6)-sqrt(2))/(sqrt(6)-sqrt(2))`
`+(sqrt(6))/(sqrt(3)+sqrt(2))xx(sqrt(3)-sqrt(2))/(sqrt(3)-sqrt(2))`
`implies (3sqrt(2)(sqrt(6)-sqrt(3)))/(6-3)-((4sqrt(3)(sqrt(6)-sqrt(2))/(6-2))+`
`=(sqrt(6)(sqrt(3)-sqrt(2))/(3-2)`
`impliessqrt(12)-sqrt(6)-(sqrt(18)-sqrt(6))+sqrt(18)-sqrt(12)`
`impliessqrt(12)-sqrt(6)-sqrt(18)+sqrt(6)+sqrt(18)-sqrt(12)=0`