Question

(2+√3/2-√3) - (2-√3/2+√3) = a+√3b

Answer 1

5+2 root 3 / 7+ 4 root 3

 on rationalising 

(5+ root 3/ 7+4 root 3 ) x (7-4 root 3/ 7 - root 3)

{(5+2root 3)(7-4 root 3)}\(7sq - 4root 3 sq)

(35 - 20root 3 + 14root 3 - 8root 3)\(49-48)

==> 35- 14 root 3 

on comparing

a = 35

b root 3 = -14 root 3

therefore b= -14