Question

is 2 times the square root of 7 minus the square root of five/ the square root of 7 plus the square root of five 2 2 times the square root of 14?

Answer 1

If you mean (2√7 - √5)/(√7 + √5) then no.

multiply top and bottom by √7-√5 , the conjugate to get
(14 -2√35 -√35 + 5)/(7-5)
= (19 - 3√35)/2