Sweeping out can be described as cleaning or getting rid of unwelcome elements. If you want to use a synonym, you can use "purge," which means to rid of unwanted elements. Another synonym for sweeping out can be "eliminate," which means to remove or get rid of something completely. If you want to describe sweeping out as a thorough and swift action, "clearing out" can be used. Another possible synonym can be "dislodging," which means to remove something stuck or firmly attached. Ultimately, these synonyms make it easier to describe the act of sweeping out and the effectiveness of the action.