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The cube root is the inverse function of the cube function if considering only real numbers, but not if considering also complex numbers: although one has always. ( x 3 ) 3 = x , {\displaystyle \left ( {\sqrt [ {3}] {x}}\right)^ {3}=x,} the cube root of the cube of a number is not always this number. For example,

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The new text would read: "In mathematics, a cube root of a number, denoted. x 3 {\displaystyle {\sqrt [ {3}] {x}}} or x 1/3, is a number a such that a3 = x. All real numbers have exactly one real cube root and 2 complex roots, and all nonzero complex numbers have 3 distinct complex cube roots."

The cube is the only regular hexahedron and is one of the five Platonic solids. It has 6 faces, 12 edges, and 8 vertices. The cube is also a square parallelepiped, an equilateral cuboid and a right rhombohedron. It is a regular square prism in three orientations, and a trigonal trapezohedron in four orientations.

The cube function is the function x ↦ x 3 (often denoted y = x 3) that maps a number to its cube. It is an odd function, as (−n) 3 = −(n 3). The volume of a geometric cube is the cube of its side length, giving rise to the name. The inverse operation that consists of finding a number whose cube is n is called extracting the cube root of n ...