General terms:
* Satisfy: This is a common word for fulfilling a desire or need. "Satisfy your curiosity" is a clear and simple way to say it.
* Quench: This implies a strong desire that is being completely satisfied. "Quench your thirst for knowledge" works well when curiosity is intense.
* Resolve: This focuses on finding answers and resolving uncertainty. "Resolve your curiosity about the world" emphasizes the act of seeking and finding answers.
* Explore: This emphasizes the active process of seeking knowledge and understanding. "Explore your curiosity" is a more dynamic way to phrase it.
More specific terms:
* Discover: This implies finding something new and exciting. "Discover the secrets of the universe" suggests a sense of adventure and exploration.
* Learn: This emphasizes the acquisition of knowledge. "Learn everything you can about ancient civilizations" focuses on the process of gaining knowledge.
* Understand: This focuses on achieving a deeper understanding of something. "Understand the complexities of the human mind" suggests a desire to grasp a concept fully.
Ultimately, the best word will depend on the specific context and the nuance you want to convey.