Ĭr're-dū'ci-ble, a.

a. [Prefix in, not, and reducible; Sp. irreducible, Fr. irréductible, It. irreducibile.] Incapable of being reduced, or brought into a different state or form of expression.

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.