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The Collaborative International Dictionary
Irresolvable

Irresolvable \Ir`re*solv"a*ble\, a. [Pref. ir- not + resolvable. Cf. Irresoluble.] Incapable of being resolved; not separable into component parts.

Irresolvable nebul[ae] (Astron.), nebul[ae] of a cloudlike appearance, which have not yet been resolved by the telescope into stars, and are often distant galaxies. See galaxy[2].
--Sir W. Herschel.

Douglas Harper's Etymology Dictionary
irresolvable

1650s, from ir- + resolvable. Related: Irresolvably.

Wiktionary
irresolvable

a. 1 Impossible to resolve; insoluble. 2 Impossible to separate into its component parts.