Final answer:
The surgical removal of tooth 3.6 requires anesthesia of the inferior alveolar nerve as well as the lingual and long buccal nerves.
Step-by-step explanation:
The surgical removal of tooth 3.6 (which is the lower left first molar) requires anesthesia of the inferior alveolar nerve as well as the lingual and long buccal nerves. The inferior alveolar nerve provides sensory innervation to the lower teeth and enters the mandibular foramen. To achieve adequate anesthesia in the area of tooth 3.6, the dentist must block the nerve prior to where it enters the mandibular foramen. The lingual nerve, which supplies the tongue and the floor of the mouth with sensory innervation, is also anesthetized because it is located near the mandibular foramen and may carry sensation from the gums adjacent to the tooth. The long buccal nerve provides sensory innervation to the cheek mucosa and the buccal gingiva of the mandibular molars and also requires anesthesia for procedures involving tooth 3.6.