Do you have to have a general anaesthetic to have impacted wisdom teeth taken out?

No, it's optional. Wisdom teeth removal do not require general anesthesia, however the experience my be more comforttable with a milder IV sedation. Local anesthetic is required in either case. In other words, the dentist will numb your mouth so you won't feel any pain. But, if you don't want to hear the possible sounds of cracking, drilling or feeling strong pressure, it's more comfortable to be lightly sedated.
No. There are several options for the removal of any tooth including local anesthesia, nitrous oxide analgesia with local, IV sedation and general anesthesia. Your best option should be discussed with your oral surgeon.
Probably not. Most of those are still amenable for extraction under local anesthesia, although, a dentist would be the one to decide on that.

Related Questions

Is wisdom teeth usually taken out under general anaesthetic?

No. No, but in certain cases it can be done under general: debilitated patients, children, patients with altered mental abilities or per patient request. Read more...
Depends. The type of anesthesia offered and/or utilized for the removal of wisdom teeth may depend on who performs your surgery, where it is performed, as well as other factors including the position and development of your teeth, your physical status and any medical problems, as well as your level of apprehension. The dentist or surgeon performing your procedure can best advise you of your options. Read more...

How long will it take for my jaw to stop aching / throbbing after having wisdom teeth out? It was done under general anaesthetic 6 days ago

By about now. Much of your discomfort should have abated by now. If not, call your oral surgeon and ask him to take a look. You may have a dry socket (washed-out clot) that is easily treatable. Read more...
It depends. It depends on why your jaw is aching. If the surgery involved significant bone removal and gum retraction, then this might be normal healing and will last up to 10 days or so. It could also be due to "dry socket", bone inflammation caused by leakage around the blood clot, that can go on for 2-3 weeks or longer. See the dentist surgeon who did the extractions for a follow up to find out. Read more...