Definition of Cube Root The cube root is that number the cube of which itself gives the given number. Calculator Use. Then the same with the angle # \pm 120^circ# are the other two cube roots. Now, the cube root formula is the vice versa of the cube formula. Formula for Cube Root. 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. free Cube Root Calculator. Cube Root. If a number is multiple two with itself, then the result of this multiplication is called the cube of that number. Use this calculator to find the cube root of positive or negative numbers. E.g., cube of 6 = 6 × 6 × 6 = 216. 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. That's one cube root. Let's break this down with an example. 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. That was a bit of a mouthful. A cube root is the number that multiplies by itself three times in order to create a cubic value. Y = ∛X. That was a bit of a mouthful. 3 cubed is 27, so the cube root of 27 is 3 The cube root formula is the inverse of the cube formula. Formula and Methods of Square and Cube Root Definition of Cube. The cube root formula is used to give the cube root value of any number. 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. Check the example below for detail: 5 Cube = 5 3 = 125 For example, 5 × 5 × 5 = 125. Cube Root. To recall, the cube of any number is found by multiplying the number three times. Let us look into this with an example: What is the cube root of 1331? Cube roots is a specialized form of our common radicals calculator. A cube root goes the other direction:. A number's cube root is another number that can be multiplied together three times to make the original number. 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.