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Arithmetic root

From Encyclopedia of Mathematics - Reading time: 1 min

arithmetical value of the n-th root of a real number a0

A non-negative number the n-th power of which is equal to a. In considering the two real values of the n-th root, where n is an even number, of a non-negative number, one speaks of the algebraic values of the root in the domain of the real numbers; if, on the other hand, one is considering all n values of an n-th root, then one speaks of the values of the root in the domain of the complex numbers.


How to Cite This Entry: Arithmetic root (Encyclopedia of Mathematics) | Licensed under CC BY-SA 3.0. Source: https://encyclopediaofmath.org/wiki/Arithmetic_root
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