The most common and most likely answer to this crossword clue is the 11 letter word ERADICATION
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The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
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What does ERADICATION mean?
ERADICATION noun- The act of plucking up by the roots; an uprooting; extirpation; utter destruction.
- The state of being plucked up by the roots.