Arithmetic root
From Encyclopedia of Mathematics
arithmetical value of the -th root of a real number a\geq0
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. URL: http://encyclopediaofmath.org/index.php?title=Arithmetic_root&oldid=31593
Arithmetic root. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Arithmetic_root&oldid=31593