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Radical expression involving roots, also known as an nth root; Radical symbol (√), used to indicate the square root and other roots; 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, an ideal of "bad" elements of a ring
Radical Republicans sought to guarantee civil rights for African Americans, ensure that the former Confederate states had limited power in the federal government, and promote free market capitalism in the South in place of a slave based economy. Many Radical Republicans were also supportive of Labor Unions, though this element would fade over time.
The hydroxyl radical, Lewis structure shown, contains one unpaired electron. Lewis dot structure of a Hydroxide ion compared to a hydroxyl radical. In chemistry, a radical, also known as a free radical, is an atom, molecule, or ion that has at least one unpaired valence electron.
The radical symbol refers to the principal value of the square root function called the principal square root, which is the positive one. The two square roots of a negative number are both imaginary numbers , and the square root symbol refers to the principal square root, the one with a positive imaginary part.
A root (also known as a root word or radical) is the core of a word that is irreducible into more meaningful elements. [1] In morphology , a root is a morphologically simple unit which can be left bare or to which a prefix or a suffix can attach.
In algebra, a nested radical is a radical expression (one containing a square root sign, cube root sign, etc.) that contains (nests) another radical expression. Examples include Examples include 5 − 2 5 , {\displaystyle {\sqrt {5-2{\sqrt {5}}\ }},}
In number theory, the radical of a positive integer n is defined as the product of the distinct prime numbers dividing n. Each prime factor of n occurs exactly once as a factor of this product: r a d ( n ) = ∏ p ∣ n p prime p {\displaystyle \displaystyle \mathrm {rad} (n)=\prod _{\scriptstyle p\mid n \atop p{\text{ prime}}}p}
In other words, acids act as proton ... radical substitution, the attacking particle is a radical. [44] This process usually takes the form of a chain reaction, for ...