"that cannot be rooted out," 1728, from assimilated form of in- (1) "not, opposite of" + radicable, from Latin radix "root" (from PIE root *wrād- "branch, root"). Latin radicare meant "to take root," and English irradicate (v.) means both "root out" (1709) and "to root, fix by the root" (1660s).
Iroquois
irradiance
irradiant
irradiate
irradiation
irradicable
irrational
irrationality
irreclaimable
irrecognition
irreconcilable