What type of surgery is performed to remove the appendix?

Laparoscopy v. Open. The appendix may be removed via traditional "open" surgery performed thru a 2-3" incision or via minimally invasive laparoscopic surgery. Both are safe procedures with the choice of procedure usually dependent on the preference of the surgeon. Like most surgeons under age 50, I perform almost all of mine laparoscopically, with an average length of hospitalization less than 24 hrs.
Typically. These days a laparoscopic approach is done. That said sometimes there are circumstances that require the surgeon to open an incision to complete the operation for your safety and to give you the best result.