Yes, many broken molars can be repaired if enough healthy tooth structure remains. Depending on the damage, your dentist may recommend a filling, crown, or root canal treatment. If the tooth cannot be saved, an extraction may be necessary. 

 A fracture can expose the dentin beneath your enamel, making the tooth more sensitive to temperature changes. If the crack reaches the inner pulp, discomfort may be stronger or last longer. A dental examination can help identify the cause. 

 Yes. A deep fracture may allow bacteria to reach the inner tooth, potentially leading to infection and swelling. Contact a dentist promptly if you notice swollen gums, tenderness, or a bad taste. Fever or spreading facial swelling requires urgent medical attention. 

 Your dentist may recommend an X-ray to check the roots, surrounding bone, or signs of infection. However, some cracks don't appear clearly on dental X-rays. Your dentist may also examine the tooth under magnification or use other tests to assess the damage. 

 You should continue keeping your mouth clean, but brush gently around the damaged tooth with a soft-bristled toothbrush. Avoid pressing against sharp or loose sections. If brushing causes pain, contact your dentist for advice before your appointment.