Question
`[(3sqrt(2))/(sqrt(6) - sqrt(3)) - (4sqrt(3))/(sqrt(6) - sqrt(2)) - (6)/(sqrt(8) - sqrt(12))]` = ?
Answer: Option C
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`(3sqrt(2))/(sqrt(6) - sqrt(3))` x `((sqrt(6) + sqrt(3)))/((sqrt(6) + sqrt(3)))` - `(4sqrt(3))/((sqrt(6) - sqrt(2)))` x `((sqrt(6) + sqrt(2)))/((sqrt(6) + sqrt(2)))` - `(6)/(2(sqrt(2) - sqrt(3)))`
=` (3sqrt(2)(sqrt(6) + sqrt(3))) /((6 - 3))` - ` (4sqrt(3)(sqrt(6) + sqrt(2)))/ ((6 - 2))` +` (3)/(sqrt(3)- sqrt(2))` x `((sqrt(3) + sqrt(2)))/((sqrt(3) + sqrt(2)))`
=`sqrt(2)(sqrt(6) + sqrt(3)) - sqrt(3)(sqrt(6) + sqrt(2)) + 3(sqrt(3) + sqrt(2))`
=`sqrt(12) + sqrt(6) - sqrt(18) - sqrt(6) + 3sqrt(3) + 3sqrt(2)`
=`2sqrt(3) - 3sqrt(2) + 3 sqrt(3) + 3sqrt(2)` = ` 5sqrt(3)`
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