How can they take wisdom teeth out?

Extractions: The dentist will numb you up with local anesthesia. Some patients also opt for sweet air or IV sedation. The dentist uses forceps and\or elevators to remove the teeth, either in one piece or in sections depending upon the position of the tooth and the difficulty of the extraction. This is what dentists\oral surgeons spend years training for and for them it's routine.

Skill and Training: Removal of wisdom teeth will depend upon whether or not the teeth are erupted, impacted (classification of the impacted teeth), as well as the person performing the surgery. Dentists and surgeons may use different techniques for removal of teeth, as well as different types of anesthesia and/or sedation. Ask your dentist or surgeon what will be involved with your particular surgery.

Depends: Depends on the tooth position. If fully erupted in the mouth - simple extraction. If impacted, may need a gum flap, removal of bone, and sectioning of the tooth.