According to Atomica you have misspelled it :

in·ex·tir·pa·ble (ĭn'ĭk-stûr'pə-bəl) adj.
Difficult or impossible to eradicate or destroy.
The American Heritage® Dictionary of the English Language, Third Edition Copyright © 1992, 1996 by Houghton Mifflin Company. All rights reserved.
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