This is the 3432nd most frequent Korean word.
도전하고
"도전하고" means "challenging (and)" or "to challenge (and)."
In this sentence, 도전하고 indicates the act of attempting or taking on a new challenge.
저는 새로운 프로젝트에 도전하고 싶습니다.
I want to take on a new project.
Here, 도전하고 displays the nuance of engaging with and addressing a problem.
그는 어려운 문제를 도전하고 해결했습니다.
He tackled and solved a difficult problem.
In this usage, 도전하고 means entering or participating in a challenge with determination.