Final answer:
The client is displaying the learning motive of task mastery.
Step-by-step explanation:
The client is displaying the learning motive of task mastery.
Task mastery refers to the motivation to learn and master a specific skill or task. In this case, the client wants the nurse to observe their colostomy irrigation technique to ensure they are able to perform it independently and be discharged. The client's request to be observed indicates their desire to acquire and demonstrate this skill, which falls under the learning motive of task mastery.