Definition of “conquer” - Learner’s Dictionary

conquer

verb uk us /ˈkɒŋkər/
LAND/PEOPLE [ I, T ]

to take control of a country or to defeat people by war:

Peru was conquered by the Spanish in 1532.
PROBLEM [ T ]

to succeed in stopping or dealing with a bad feeling or a difficult problem:

He has finally conquered his fear of spiders.

(Definition of “conquer” from the Cambridge Learner's Dictionary © Cambridge University Press)