'unanalyzable' originates from English, specifically formed from the prefix 'un-' + the adjective 'analyzable', where 'un-' meant 'not' and 'analyzable' meant 'capable of being analyzed'.

'analyzable' developed from the verb 'analyze' (also spelled 'analyse') + the suffix '-able' in Modern English; 'analyze' came into English via French 'analyser' from Late Latin/Greek roots, ultimately from Greek 'analyein' (ἀναλύειν) composed of 'ana-' ('up, again, apart') + 'lyein' ('to loosen, to release').

Initially the Greek root related to 'loosening apart' (literal separation); over time this developed into the modern sense of 'examining by breaking into parts', and 'unanalyzable' now means 'not capable of being broken down for analysis'.