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A cube root of a number x is a number y such that y3 = x. Learn how to find cube roots of real and complex numbers, their geometric and algebraic representations, and their applications in mathematics and geometry.
A cube of a number is its third power, the result of multiplying three instances of the number together. Learn about the cube function, the cube root, the cubic parabola, and the perfect cubes in integers and base ten.
Learn about the origins and solutions of cubic equations, which are equations of the form ax3 + bx2 + cx + d = 0. Find out how ancient and medieval mathematicians from different cultures approached and solved cubic equations using algebra, geometry, and numerical approximations.
Learn about mental calculation, the arithmetical calculations using only the human brain, with no help from any supplies or devices. Find out the methods and techniques, such as casting out nines, factors, and FOIL, to perform mental calculations faster and more accurately.
An nth root of a number x is a number r that, when raised to the power of n, yields x. The number x is called the radicand and the index or degree of the root is n. Learn more about the history, notation, properties and operations of nth roots.
Learn about different algorithms for approximating the non-negative square root of a positive real number, such as Heron's method, Newton's method, and continued fractions. Compare the accuracy, complexity, and history of various methods, and how to choose a suitable initial estimate.
The twelfth root of two is an irrational number that represents the frequency ratio of a semitone in equal temperament. Learn about its numerical value, musical applications, history and other tuning scales.
Horner's method is an algorithm for evaluating polynomials with only multiplications and additions. It is also a method for approximating the roots of polynomials, based on Horner's rule. Learn the history, examples, efficiency and applications of Horner's method.