If a and b are rational numbers and 2+√3/2-√3=a+b√3

If a and b are rational numbers and 2+√3/2-√3=a+b√3

Given (2+√3)/(2 -√3) = a + b√3
Multiply and divide with (2 -√3)

On comparing both the sides, we get
a= 7 and b = 4