[Maxima] How to simplify ((2+sqrt(3))/(sqrt(2)+sqrt(2+sqrt(3))) + (2-sqrt(3))/(sqrt(2)-sqrt(2-sqrt(3))))^2 to 2?

[Humberto Bortolossi]

Hi!

Is there a way to make Maxima simplify the expression

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

to 2?

Thanks in advance, Humberto.