Like square roots, the square super-root of may not have a single solution. Unlike square roots, determining the number of square super-roots of may be difficult. In general, if formula_118, then has two positive square super-roots between 0 and 1; and if formula_119, then has one positive square super-root greater than 1. If is positive and less than formula_120 it doesn't have any real square super-roots, but the formula given above yields countably infinitely many complex ones for any finite not equal to 1. The function has been used to determine the size of data clusters.