Should i go to the doctor for a sprained ankle?

Depends: If you are having difficulty walking or excess pain then yes.

YES: When people treat themselves, the pain can linger for a long time; sometimes the pain never goes away. People don't take sprains seriously. So, the final answer is yes, see a doctor. At least they can tell you there is nothing to worry about. Dr. Latva

Sure it's a sprain?: You are asking if a sprain needs care, but you are assuming that you have a sprain. Post traumatic ankle swelling could also be from a fracture of the malleolus, a diastasis of the tibio-fibular syndesmosis, or a fracture of the tibial plafond, any of which could lead to permanent and severe injury if untreated, i.e., if not surgically corrected.