It's related to the word "minister", which originally meant "servant" or "attendant", and now refers to someone who serves in a government position or a religious official.
Here are some examples of words derived from the root "minist":
* Minister: A person appointed to serve in a government position.
* Administer: To manage or control something.
* Ministry: A department of government or a religious service.
* Eminence: High rank or distinction, literally meaning "outstanding service".
* Demonstrate: To show or explain something clearly, originally meaning "to serve as a sign".
So, the root "minist" essentially carries the idea of service, attention, and management.