Cube Root Calculator

The cube root of x ( ∛x ) is the number that, when multiplied by itself three times, equals x.

Another way to look at it is : ∛x = y where y³ = x

The cube root is critical in mathematics, science, and engineering, especially in solving equations involving volumes, scaling laws, and cubic relationships.

Cube roots help determine the side length of a cube when given its volume. Moreover, cube roots are important in cryptography and computer graphics where 3D scaling and transformations are needed. Cube roots cab also be helpful in astrophysics and calculating Kepler's Third Law, which relates the period of a planet's orbit to the size of its orbit.

There are several ways to calculate cube roots ( ∛x ), depending on the level of accuracy you need and the tools available.

If you are calculating a perfect cube you can use prime factorization, which involves factorizing the number and taking the cube root of each factor.

Prime Factorization Example : Find ∛216

216 = 2³ x 3³

Then take the cube root of each factor:

∛2³ = 2

∛3³ = 3

Then multiply 2 x 3 = 6