# Arithmetical root * *
* Arithmetical root. Algebraic root.* Absolute value (modulus) of number. * * As we know, an even degree root has two values: positive and negative, so
*An arithmetical root* of the *n*-th degree of a *non-negative* number* a *is called a* non-negative* number, the *n*-th power of which is equal to *a* .
*An algebraic root* of the *n*-th degree of a *given* number* a *iscalled a set of all roots of this number. An algebraic root of an *even *degree has the two values:positive and negative, for instance:
An algebraic root of an *odd* degrees has a single value: either positive, or negative.For example, the arithmetical root
Unlike this, the cube degree root:
An *arithmetical root *is closely connected with the notion of an *absolute value(modulus)* of number, exactly:
Operations with roots in more detail see the section “Powers and roots”. Back |