## Meanings

### Noun

• A member of the most progressive wing of the Liberal Party; someone favouring social reform (but generally stopping short of socialism).
• A member of an influential, centrist political party favouring moderate social reform, a republican constitution, and secular politics.
• A person with radical opinions.
• A root (of a number or quantity).
• In logographic writing systems such as the Chinese writing system, the portion of a character (if any) that provides an indication of its meaning, as opposed to phonetic.
• In Semitic languages, any one of the set of consonants (typically three) that make up a root.
• A group of atoms, joined by covalent bonds, that take part in reactions as a single unit.
• Given an ideal I in a commutative ring R, another ideal, denoted Rad(I) or $\sqrt\left\{I\right\}$, such that an element x ∈ R is in Rad(I) if, for some positive integer n, xn ∈ I; equivalently, the intersection of all prime ideals containing I.
• Given a ring R, an ideal containing elements of R that share a property considered, in some sense, "not good".
• The intersection of maximal submodules of a given module.
• The product of the distinct prime factors of a given positive integer.

## Origin

• From French radical, from Late Latin rādīcālis, from Latin rādix; see radix.

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