Express 2 + sqrt(2) + 1/(2 + sqrt(3)) + 1/(sqrt(5) - 2) in simplest form.
2 + sqrt 2 + 1/(2 + sqrt 3) * ( 2-sqrt 3)/(2 -sqrt 3) + 1/ (sqrt 5 - 2) * (sqrt 5 + 2)/(sqrt 5 +2) =
2 + sqrt 2 + 2 - sqrt 3 + sqrt 5 + 2 =
6 + sqrt 2 - sqrt 3 + sqrt 5
+59 
