13th root 13th root Extracting the 13th root of a number is a famous category for the mental calculation world records. The challenge consists of being given a large number (possibly over 100 digits) and asked to return the number that, when taken to the 13th power, equals the given number. For example, the 13th root of 8,192 is 2 and the 13th root of 96,889,010,407 is 7. Extracting the 13th root has certain properties. One is that the 13th root of a number is much smaller: a 13th root will have approximately 1/13th the number of digits. Thus, the 13th root
Root of unity 5th root of unity) is an element of the ring Z[] (). For two pairs of non-real 5th roots of unity these sums are inverse golden ratio and minus golden ratio. For , for any root of unity equals to either 0, ±2, or ± (). For , for any root of unity, equals to either 0, ±1, ±2 or ± (). Root of unity In mathematics, a root of unity, occasionally called a de Moivre number, is any complex number that gives 1 when raised to some positive integer power . Roots of unity are used in many branches