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In mathematics, a

**cube root**of a number x is a number y such that y3 = x. All nonzero real numbers, have exactly one real**cube root**and a pair of complex conjugate**cube****roots**, and all nonzero complex numbers have three distinct complex**cube****roots**.In algebra, a

**cubic**equationin one variable is an equationof the form ax3+bx2+cx+d=0{\displaystyle ax^{3}+bx^{2}+cx+d=0} in which ais nonzero. The solutions of this equation are called rootsof the**cubic**functiondefined by the left-hand side of the equation.In algebraic terms, doubling a unit

**cube**requires the construction of a line segment of length x, where x 3 = 2; in other words, x = , the**cube root**of two. This is because a**cube**of side length 1 has a volume of 1 3 = 1, and a**cube**of twice that volume (a volume of 2) has a side length of the**cube root**of 2. The impossibility of doubling the ...The

**cube root**lawis an observation in political sciencethat the number of members of a unicamerallegislature, or the lower houseof a bicamerallegislature, is about the**cube**rootof the population being represented.[1] The rule was devised by Rein Taageperain his 1972 paper "The size of national assemblies". [2]In algebra, a nested radicalis a radical expression(one containing a

**square****root**sign,**cube root**sign, etc.) that contains (nests) another radical expression. 5−25 ,{\displaystyle {\sqrt {5-2{\sqrt {5}}\ }},} which arises in discussing the regular pentagon, and more complicated ones such asIn mathematics, an nth

**root**of a number x is a number r which, when raised to the power n, yields x : where n is a positive integer, sometimes called the degree of the**root**. A**root**of degree 2 is called a**square****root**and a**root**of degree 3, a**cube root**.**Roots**of higher degree are referred by using ordinal numbers, as in fourth**root**, twentieth ...The

**cube**is also a**square**parallelepiped, an equilateral cuboid and a right rhombohedron a 3-zonohedron. It is a regular**square**prism in three orientations, and a trigonal trapezohedron in four orientations. The**cube**is dual to the octahedron. It has cubical or octahedral symmetry. The**cube**is the only convex polyhedron whose faces are all squares.

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