köbgyök

The köbgyök, also known as the cube root, is a mathematical operation that finds a number which, when multiplied by itself three times, gives the original number. It is the inverse operation of cubing a number. The cube root of a number n is denoted as n^(1/3) or ³√n.

The cube root of a positive number is always positive. For example, the cube root of 27 is 3, because 3 x 3 x 3 = 27. The cube root of a negative number is always negative. For instance, the cube root of -64 is -4, because -4 x -4 x -4 = -64.

The cube root of zero is zero, as 0 x 0 x 0 = 0. The cube root of one is one, as 1 x 1 x 1 = 1. The cube root of a fraction is the cube root of the numerator divided by the cube root of the denominator. For example, the cube root of 1/8 is 1/2, because ³√1/8 = ³√1 / ³√8 = 1/2.

The cube root is an irrational number for most numbers, meaning it cannot be expressed as a simple fraction. However, it can be approximated using various methods, such as the Newton-Raphson method or using a calculator.

The cube root is used in various fields, including mathematics, physics, and engineering. It is also used in finance to calculate the cube root of a number in certain formulas.