“What number can I multiply by itself twice to get this number?” can be answered using a number’s cube root. “R is the cube root of x” if r3 = x. This is the opposite of the exponentiation operation, with an exponent of 3. The radical sign, √, is a specific notation used to find the root of a number. It is used the same way for square roots and receives an index number showing the root (in the case of the cube root, 3), so it looks like this: ∫. Typically, the radical covers the whole equation that has to have its root discovered. Since the volume of a cube may be found by multiplying an integer by itself twice, the root is known as a “cube” root.
Applying the cube root function to a given integer yields a single, unique real number root that bears the number’s sign, in contrast to the square root. For instance, since 2 x 2 x 2 = 8 and -2 x -2 x -2 = -8, the ∛8 equals 2, while the ∛-8 = -2. Each real number cube root (zero omitted) has two complex conjugate roots in addition to the principal cube root, the real number cube root. For instance, -1 + √3i and -1 – √3i are the two cube roots of 8. Only the primary root will be displayed by our cube root calculator. For further instances, see the table of common roots below.

It may be helpful to understand that, in terms of geometry, the cube root function translates a cube’s volume onto its side length when understanding the Cube Root Calculator results.