What is the adverb of encourage?

There isn't a single, perfect adverb form of "encourage." However, depending on the context, you could use several options to express similar meanings:

* Encouragingly: This is the most direct adverbial form, meaning "in a way that encourages."

* Example: "She smiled encouragingly."

* Enthusiastically: This implies strong encouragement with excitement.

* Warmly: This suggests encouragement with kindness and affection.

* Positively: This emphasizes a positive and supportive encouragement.

* Optimistically: This implies encouragement based on hope and a positive outlook.

* Strongly: This emphasizes the forcefulness of the encouragement.

The best choice will depend on the specific nuance you want to convey.