Question
`((2 + sqrt(3))/(2 - sqrt(3)) + (2 - sqrt(3))/(2 + sqrt(3)) + (sqrt(3) - 1)/(sqrt(3) + 1) )` simplifies to :
Answer: Option A
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Given exp. `(2 + sqrt(3))/(2 - sqrt(3)) xx (2 + sqrt(3))/(2 +sqrt(3)) + (2 - sqrt(3))/(2 + sqrt(3)) xx (2 -sqrt(3))/(2 - sqrt(3)) + (sqrt(3) - 1)/(sqrt(3) + 1) xx (sqrt(3) - 1)/(sqrt(3) + 1) `
=`(( 2 + sqrt(3))^2)/(4 - 3) + ((2 - sqrt(3))^2)/((4 - 3)) + ((sqrt(3) - 1)^2)/((3 - 1))`
=`[(2 + sqrt(3))^2 + (2 - sqrt(3))^2] + (4 -2sqrt(3))/(2)`
=` 2(4 + 3) + 2 - sqrt(3)` = `16 - sqrt(3)`
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