I am 57 years old male. My one tooth started shaking before 25 days. It was paining. After 2 to 3 days l pulled it out. Paining stooped. But after 15 days the gum pain started at the spot. I consulted a dentist. In x-ray a small broken tooth is remaining inside and there is infection. Doctor gave me antibiotics and pain killers and told me to remove the remaining tooth by operation. Is it necessary to remove the part of the tooth as there is no paining after completing the antibiotic course.