apologise

The story

1. Proto-Indo-European*h₂ep
2. Proto-Indo-European*h₂epó
3. Proto-Hellenic*apó
4. Ancient Greekᾰ̓πό (ăpó)
5. Ancient Greekᾰ̓πο- (ăpo-)
6. Proto-Indo-European*leǵ-
7. Proto-Indo-European*lóǵos
8. Proto-Hellenic*lógos
9. Ancient Greekλόγος (lógos)
10. Ancient Greekἀπολογία (apología)
11. Ecclesiastical Latinapologia
12. Frenchapologie
13. Englishapology
14. English todayapologise

From apology + -ise.