**Ir`re*du"ci*ble** (?), a.

**1.**

Incapable of being reduced, or brought into a different state; incapable of restoration to its proper or normal condition; as, an **irreducible** hernia.

**2.** Math.

Incapable of being reduced to a simpler form of expression; as, an **irreducible** formula.

Irreducible case Alg., a particular case in the solution of a cubic equation, in which the formula commonly employed contains an imaginary quantity, and therefore fails in its application.

-- *Ir`re*du"ci*ble*ness*, n. -- -- *Ir`re*du"ci*bly*, adv.

© Webster 1913.