Calculator Use. Definition of Cube Root The cube root is that number the cube of which itself gives the given number. Let's break this down with an example. For example, 5 × 5 × 5 = 125. Formula and Methods of Square and Cube Root Definition of Cube. In the cube formula, we multiply a number three times to get its cube, so in this case, we break down a number to be expressed as a product of three equal number and thus we get the cube root. Check the example below for detail: 5 Cube = 5 3 = 125 That's one cube root. If a number is multiple two with itself, then the result of this multiplication is called the cube of that number. Y = ∛X. Let us look into this with an example: What is the cube root of 1331? Now, the cube root formula is the vice versa of the cube formula. That was a bit of a mouthful. The cube root formula is the inverse of the cube formula. But if we apply Cardano's formula to this example, we use a=1, b=0, c=-15, d=-4, and we find that we need to take the square root of -109 in the resulting computation. To recall, the cube of any number is found by multiplying the number three times. That was a bit of a mouthful. A cube root goes the other direction:. free Cube Root Calculator. Cube Root. Cube Root. The cube root formula is used to give the cube root value of any number. A number's cube root is another number that can be multiplied together three times to make the original number. Formula for Cube Root. A cube root is the number that multiplies by itself three times in order to create a cubic value. Given a number x, the cube root of x is a number a such that a 3 = x.If x positive a will be positive, if x is negative a will be negative. 3 cubed is 27, so the cube root of 27 is 3 Then the same with the angle # \pm 120^circ# are the other two cube roots. Cube roots is a specialized form of our common radicals calculator. E.g., cube of 6 = 6 × 6 × 6 = 216. Those are some symbols that's say if you want to take the cube root of a complex number, take the (real) cube root of its magnitude, and divide the angle by three. X is the value that we are determining the cube root of; Y is the cube root of X; This is the reverse of cubing a number. Use this calculator to find the cube root of positive or negative numbers.