Question
`(3 + sqrt(6))/(5sqrt(3) - 2sqrt(12) - sqrt(32) + sqrt(50))` = ?
Answer: Option D
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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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