`(2-sqrt3)(sqrt3+2)`

((2+sqrt(3))/(sqrt(2)+sqrt(2+sqrt(3)))+(2-sqrt(3))/(sqrt(2)+sqrt(2-sqrt(3))))^(2)=

(3 + sqrt2)(2-sqrt3)(3-sqrt2)(2+sqrt3)

(2+sqrt(3))/(2-sqrt(3))+(2-sqrt(3))/(2+sqrt(3))=

(2+sqrt(3))/(2-sqrt(3))+(2-sqrt(3))/(2+sqrt(3))+(sqrt(3)+1)/(sqrt(3)-1)is

(3sqrt(2)-2sqrt(3))/(3sqrt(2)+2sqrt(3))+(3sqrt(2)+2sqrt(3))/(3sqrt(2)-2sqrt(3))=

(5+sqrt(3))/(2-sqrt(3))+(2-sqrt(3))/(2+sqrt(3))

((2+sqrt(3))/(2-sqrt(3))+(2-sqrt(3))/(2+sqrt(3))+(sqrt(3)-1)/(sqrt(3)+1)) simplifies to 16-sqrt(3)(b)4-sqrt(3)(c)2-sqrt(3) (d) 2+sqrt(3)