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Question

`(sqrt(7) + sqrt(5))/(sqrt(7) - sqrt(5))`  is equal to :


Options:
A .  1
B .  2
C .  `6 -sqrt(35)`
D .  `6 + sqrt(35)`
Answer: Option D

`(sqrt(7) + sqrt(5))/(sqrt(7) - sqrt(5))`= `(sqrt(7) + sqrt(5))/(sqrt(7) - sqrt(5))` x `(sqrt(7) + sqrt(5))/(sqrt(7) + sqrt(5))`

`((sqrt(7) + sqrt(5))^2) /((7 - 5))` =  `(7 + 5 + 2sqrt(35))/(2)` =  `(12 + 2sqrt(35))/(2)` = ` 6 + sqrt(35)`



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