The term 'REMOVE COMPLETELY' can be broken down into three crossword solutions: PURGE (5 letters), ERASE (5 letters), and ROOTUP (6 letters). PURGE means to cleanse or rid of something, usually by force. ERASE means to wipe out or obliterate something, often with a tool such as an eraser. ROOTUP is a less common term, but it means to completely remove something from its source, often by digging it up. All three terms imply a thorough removal of something, leaving no trace behind.