It will always be negative, because negative times negative times negative is positive. for example, -1 x -1 x -1 = 1 x -1 = -1 So when finding cube root you find the number which can multiply itself three times to get the number. Cube root of -8 is -2 because -2 x -2 x -2 =4 x -2 =-8 Thus all cube root of negative numbers are negative because negative times negative times negative is negative.