Question
`(2 + sqrt(2) + (1)/(2 + sqrt(2)) + (1)/(sqrt(2) - 2))` simplifies to :
Answer: Option B
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Given exp. = `(2 + sqrt(2))` + `(1)/((2 + sqrt(2)))` x ` ((2 - sqrt(2)))/((2 - sqrt(2)))` - `(1)/((2 - sqrt(2)))` x `((2 + sqrt(2)))/((2 + sqrt(2)))`
=`(2 + sqrt(2))` + `((2 - sqrt(2)))/((4 - 2))` - `((2 + sqrt(2)))/((4 - 2))`
= `(2 + sqrt(2))` + `1/2 (2 - sqrt(2))` - `1/2 (2 + sqrt(2))` = 2
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