Final answer:
The appropriate nursing activity for the RN to delegate to experienced unlicensed assistive personnel (UAP) in the eye clinic is looking for eye irritation in a patient with possible conjunctivitis.
Step-by-step explanation:
The appropriate nursing activity for the RN to delegate to the UAP in the eye clinic is looking for eye irritation in a patient with possible conjunctivitis. This task can be safely performed by the UAP with supervision. Conjunctivitis is a common and contagious condition that can be identified by observing the presence of redness, discharge, and swelling around the eyes. The UAP can assist in identifying these symptoms and reporting them to the RN for further evaluation and treatment.