What is Unexterminable?

The term "unexterminable" is not a commonly used word in English. However, based on the context of your question, I can infer that you are asking about something that cannot be eliminated or eradicated completely.

In this case, there are several things that could be considered unexterminable, depending on the context and perspective. Here are some examples:

1. Diseases: Some diseases, such as HIV/AIDS, cancer, and other chronic conditions, are difficult to cure and can persist in the human population despite medical advances and treatments.
2. Pests and insects: Certain pests and insects, such as cockroaches and bed bugs, are notoriously difficult to eliminate completely due to their ability to adapt and reproduce quickly.
3. Weeds: Some weeds are resistant to herbicides and can regrow quickly after being removed, making them difficult to eradicate completely.
4. Computer viruses: Some computer viruses are designed to be difficult to remove and can persist on infected computers even after being detected and treated.
5. Social issues: Social issues such as poverty, discrimination, and inequality can be difficult to eliminate completely due to their complex nature and the many factors that contribute to them.

In general, the term "unexterminable" is used to describe something that cannot be completely eliminated or eradicated, but may be possible to control or manage to some extent.