Cube Root Formula

In math, a cube root of a value, represents `root(3)(x)` or x1/3, is a value a such that a3 = x. In general the cube root formula is defined as a value x are the numbers y which satisfy the following formula. By using this formula we can solve the cube root problems. Let, see some of the examples of cube root. This article very much helpful to you to solve the problem about the cube root. The cube root problem is used on many places and it is one of the basic mathematical operation.

Examples of Cube Root Formula:

All real numbers contains perfectly one real cube root and a duo of complex conjugate roots, and every nonzero complex values contains three distinct complex cube roots.

Example problem1:

Find the cube root of 8.

Solution:

The given problem can be written as: `root(3)(8)=2` since `2*2*2=2^3=8.`

Example problem2:

Find the cube root of 1.

Solution:

The given problem can be written as: `root(3)(1)=1` since `1*1*1=1^3=1.`

Example problem3:

Find the cube root of 27.

Solution:

The given problem can be written as: `root(3)(27)=3` since `3*3*3=3^3=27.`

Example problem4:

Find the cube root of -8.

Solution:

The given problem can be written as: `root(3)(-8)=-2` since `-2xx-2xx-2=-2^3=-8.`

Example problem5:

Find the cube root of -792.

Solution:

The given problem can be written as: `root(3)(-792)=-9.25213002`

Since, `-9.25213002xx-9.25213002xx-9.25213002=-9.25213002^3=-792.`

Practice Problems of Cube Root Formula:

Problem 1:

Find the cub root of 81.

Solution:

4.32674871

Problem 2:

Find the cub root of 100.

Solution:

4.64158883

Problem 3:

Find the cub root of 125.

Solution:

5

Problem 4:

Find the cub root of 343.

Solution:

7

Problem 5:

Find the cub root of 1000.

Solution:

10