The task that is completed with infrared radiation among the options provided is removing bacteria from the air in hospitals. Infrared radiation can be used in certain sterilization processes, such as infrared lamps, which can help eliminate bacteria in the air.
The other options are not primarily associated with infrared radiation:
- Transmitting digital messages with a cell phone typically involves radio waves.
- Diagnosing a broken bone or decayed tooth generally uses X-rays.
- Sending messages through fiber optic cables utilizes light, often in the visible spectrum or infrared, but the main method is through light waves in general rather than specifically infrared radiation.
So, the most appropriate answer from the list is removing bacteria from the air in hospitals.