When you undertake a task or challenge, you attempt to accomplish it. If you want to undertake a verbal challenge right now, try saying “sushi chef” ten times quickly without messing up.
Way back in the 13th century, undertake meant “seize” or “entrap.” Of course, the meaning has shifted significantly since then, and we hope you don’t feel entrapped when you decide to undertake a project. However, undertake does convey a level of commitment and involvement that’s somewhat stronger than the words try or attempt might suggest.