Final answer:
Spain, England, and France were the most dominant European nations in the Caribbean and South America, while England was most dominant in settling North America.
Step-by-step explanation:
The European nations that were most dominant in the Caribbean and South America were Spain, England, and France. Spain was particularly dominant in the Caribbean, where they established colonies in islands such as Cuba, Puerto Rico, and the Dominican Republic. England and France were more dominant in the northern parts of South America, such as Guyana, Suriname, and French Guiana.
In terms of settling North America, England was the most dominant European nation. They established colonies along the eastern coast of North America, including the Thirteen Colonies which eventually became the United States. France also had a significant presence in North America, particularly in Canada with their colonies of New France and Acadia.