I think you would have to take some nursing courses with the required clinical component.
Dentistry and medicine are separate professions from nursing. Of course you've taken such academics as chemistry, anatomy, physiology, and pshychology. Learning, understanding, and applying the Nursing Process" is only taught in a nursing program.
Welcome! If you truly want to be a nurse you have an enourmous head start.
Please check with the Board of Registered Nursing to be certain. Just because I posted what I believe is true it is best to ask them directly.
From Title 16, the California Nursing Practice Act:
"The following shall be integrated throughout the entire nursing curriculum:
(1) Nursing process;
(2) Basic intervention skills in preventive, remedial, supportive and rehabilitative nursing;
(3) Physical, behavioral and social aspects of human development from birth through all age levels;
(4) The knowledge and skills required to develop collegial relationships with health care providers from other disciplines;
(5) Communication skills including principles of verbal, written and group communications; (6) Natural sciences including human anatomy, physiology and microbiology; and
(7) Related behavioral and social sciences with emphasis on societal and cultural patterns, human development, and behavior relevant to health?illness. "