General words:
* Scholar: A person who is a learned expert in a particular field.
* Scholarship: Financial aid given to a student for their studies.
* Scholarly: Relating to or characteristic of scholars.
* Scholastic: Relating to schools, education, or scholarship.
* Scholasticism: A philosophical method emphasizing logic and reason, prevalent in medieval Europe.
Words with prefixes and suffixes:
* Unscholarly: Not typical of a scholar or scholarship.
* Scholarships: The plural form of scholarship.
* Scholarliness: The quality of being scholarly.
* Scholarly: The adjective form of scholar.
* Prescholar: A child who is about to start school.
* Postdoctoral: Relating to studies done after receiving a doctorate.
* Interschool: Between schools.
More specific words:
* Bibliophile: A lover of books.
* Erudite: Having or showing great knowledge or learning.
* Polymath: A person of wide-ranging knowledge or learning.
* Scribe: A person who copies out documents, especially manuscripts.
* Philologist: A scholar of language.
* Historian: A scholar of history.
This is not an exhaustive list, but it gives you a good idea of the range of words that can be formed with the root "scholar."