1. gradually or carefully discover or obtain something despite difficulty
tease out the truth/details/information
To 'tease out something' is a phrasal verb meaning to try to obtain information or to understand something which is not clear. When you 'tease out a solution' or 'tease out a problem' it means you find a solution even though it is difficult. To tease out something can also mean to separate something gradually, such as a knot in your hair, tangles or something which is stuck together.