`(sqrt(7) + sqrt(5))/(sqrt(7) - sqrt(5))` is equal to : Options: A . &nbsp1 B . &nbsp2 C . &nbsp`6 -sqrt(35)` D . &nbsp`6 + sqrt(35)`

`(sqrt(7) + sqrt(5))/(

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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