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  2. Cube root - Wikipedia

    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.

  3. Cubic equation - Wikipedia

    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.

  4. Doubling the cube - Wikipedia

    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 ...

  5. Cube root law - Wikipedia

    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]

  6. Nested radical - Wikipedia

    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 as

  7. nth root - Wikipedia

    In 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 ...

  8. Cube - Wikipedia

    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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