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Question

`(3 + sqrt(6))/(5sqrt(3) - 2sqrt(12) - sqrt(32)  + sqrt(50))` =  ?


Options:
A .  3
B .  `3sqrt(2)`
C .  6
D .  None of these
Answer: Option D

Given exp. =  `(3 + sqrt(6))/(5sqrt(3) - 4sqrt(3) - 4sqrt(2)  + 5sqrt(2))`  = `((3 + sqrt(6)))/((sqrt(3) + sqrt(2)))`

= `((3 + sqrt(6)))/((sqrt(3) + sqrt(2)))`  x  `((sqrt(3) - sqrt(2)))/((sqrt(3) - sqrt(2)))`

=`(3sqrt(3) - 3sqrt(2) + 3sqrt(2) - 2sqrt(3))/((3 - 2))` =  `sqrt(3)`




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