Radical, from Late Latin radicalis "of roots" and from Latin radix "root", may refer to:
- in science and mathematics
- A radical (chemistry) is an atom, molecule, or ion which is likely to take part in chemical reactions.
- Radical symbol (√), a symbol used to indicate the square root or nth root
- Radical of an algebraic group, a concept in algebraic group theory
- Radical of an ideal, an important concept in abstract algebra
- Radical of a ring, in ring theory, a branch of mathematics, a radical of a ring is an ideal of "bad" elements of the ring
- Radical of a module, in the theory of modules, the radical of a module is a component in the theory of structure and classification
- Jacobson radical, the Jacobson radical of a ring, R, consists of those elements in R which annihilate all simple right R-modules
- Nilradical of a ring, the nilradical of a commutative ring is a nilpotent ideal, which is as large as possible
- Nilradical of a Lie algebra, the nilradical of a lie algebra is a nilpotent ideal, which is as large as possible
- Radical of an integer, a concept in number theory
- Symmetric bilinear form, a concept in linear algebra
- Radical of a Lie algebra, a concept in lie theory
- in medicine
- Radical surgery, surgery carried out in extreme circumstances and/or with extensive treatment
- in linguistics
- in politics
Extremism, political standpoints that are perceived as revolutionary or extreme
- in culture
- in architecture
- brands, titles and proper names
- Radical Sportscars, an English sports car maker
- Radical Entertainment, a video game developer based in Vancouver, Canada
- Free Radical Design, a video game developer based in Nottingham, England
- Free Radicals (band), a jazz-funk musical group from Houston, Texas
- Free Radical Centre, a centre for free radical chemistry and biotechnology that was established in 2005
- Radical (Smack album), Smack's fourth studio album, released in 1988