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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}
Rules for Radicals: A Pragmatic Primer for Realistic Radicals is a 1971 book by American community activist and writer Saul Alinsky about how to successfully run a movement for change. It was the last book written by Alinsky, and it was published shortly before his death in 1972.
The quartic is the highest order polynomial equation that can be solved by radicals in the general case (i.e., ... Divide both sides by −4, and move the ...
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.
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 ...
A solution in radicals or algebraic solution is an expression of a solution of a polynomial equation that is algebraic, that is, relies only on addition, subtraction, multiplication, division, raising to integer powers, and extraction of n th roots (square roots, cube roots, etc.). A well-known example is the quadratic formula
Dividing integers in a computer program requires special care. Some programming languages treat integer division as in case 5 above, so the answer is an integer. Other languages, such as MATLAB and every computer algebra system return a rational number as the answer, as in case 3 above. These languages also provide functions to get the results ...
Radical of an integer, in number theory, the product of the primes which divide an integer; Radical of a Lie algebra, a concept in Lie theory Nilradical of a Lie algebra, a nilpotent ideal which is as large as possible; Left (or right) radical of a bilinear form, the subspace of all vectors left (or right) orthogonal to every vector