Final answer:
The roots, dental alveoli, and periodontal ligaments form a gomphosis joint, which is specialized and fibrous, securing a tooth within the jaw and classified as a non-movable synarthrosis.
Step-by-step explanation:
The joint formed by the roots, the dental alveoli, and the periodontal ligaments that bind the roots to the alveolar processes is a gomphosis. A gomphosis is a specialized fibrous joint that anchors a tooth firmly within its bony socket in the maxillary bone or mandible bone.
The tooth is held in place by the periodontal ligament, which is composed of dense connective tissues that functionally classify this type of joint as a synarthrosis, indicating its immobility.