Which term means to ask for something earnestly?

The term that means to ask for something earnestly is "entreat." This word carries a sense of urgency and deep earnestness in the request being made. When someone entreats, they are imploring or pleading fervently for something, which suggests a strong emotional appeal often tied to desperate or serious circumstances. The intensity of the request implies more than simply asking; it conveys heartfelt desire or necessity.

While the other terms are related to making requests, they do not quite capture the same level of emotional intensity and earnestness that "entreat" does. "Implore" can express a similar fervor but may not always convey the nuanced, pleading quality that "entreat" uniquely captures. "Solicit" often implies a more formal request, typically related to seeking support or business, while "request" is a more general and neutral term that lacks the emotional weight associated with earnest asking. Therefore, "entreat" is the most fitting choice to represent the action of asking for something earnestly.