Cube root

Common card · No. 344507

In mathematics, a cube root of a number x is a number y that has the given number as its third power; that is y 3 = x . {\displaystyle y^{3}=x.} The number of cube roots of a number depends on the number system that is considered. Every real number x has exactly one real cube root that is denoted x 3 {\textstyle {\sqrt[{3}]{x}}} and called the real cube root of x or simply the cube root of x in contexts where complex numbers are not considered. For example, the real cube roots of 8 and −8 are respectively 2 and −2. The real cube root of an integer or of a rational number is generally not a rational number, nor a constructible number. Every nonzero real or complex number has exactly three cube roots that are complex numbers. If the number is...

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