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  • Cube root - Wikipedia
    Cube root In mathematics, a cube root of a number x is a number y that has the given number as its third power; that is The number of cube roots of a number depends on the number system that is considered
  • Square root algorithms - Wikipedia
    Square root algorithms compute the non-negative square root of a positive real number Since all square roots of natural numbers, other than of perfect squares, are irrational, [1] square roots can usually only be computed to some finite precision: these algorithms typically construct a series of increasingly accurate approximations
  • Imaginary unit - Wikipedia
    For a general positive integer n, the n -th roots of i are, for k = 0, 1, , n − 1, The value associated with k = 0 is the principal n -th root of i The set of roots equals the corresponding set of roots of unity rotated by the principal n -th root of i These are the vertices of a regular polygon inscribed within the complex unit circle
  • Nested radical - Wikipedia
    In algebra, a nested radical is a radical expression (one containing a square root sign, cube root sign, etc ) that contains (nests) another radical expression
  • nth root - Wikipedia
    Modern notation for the n th root of the variable x In mathematics, an nth root of a number is the number r which, when multiplied by itself n times, yields x: The positive integer n is called the index or degree, and the number x of which the root is taken is the radicand 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
  • Quartic equation - Wikipedia
    Thus if Q(1) = 0 and so x = 1 is a root of Q(x) It can similarly be shown that if x = −1 is a root In either case the full quartic can then be divided by the factor (x − 1) or (x + 1) respectively yielding a new cubic polynomial, which can be solved to find the quartic's other roots If and then is a root of the equation
  • Pompeiu derivative - Wikipedia
    Pompeiu's construction is described here Let denote the real cube root of the real number x Let be an enumeration of the rational numbers in the unit interval [0, 1] Let be positive real numbers with Define by g ( x ) := a 0 + ∑ j = 1 ∞ a j x − q j 3 {\displaystyle g (x):=a_ {0}+\sum _ {j=1}^ {\infty }\,a_ {j} {\sqrt [ {3}] {x-q_ {j}}} } For each x in [0, 1], each term of the





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