# What is Cub Root Mean in Math?

A **cube number** is an answer when a number has been multiplied by three times itself. The cube for the number (x) is denoted as x^{3} and is read as “x-cubed” (or) “x raised to 3″ x to the power of 3”. For example, let the number 4. We know that 4 × 4 × 4 = 64. Hence, 64 is also said the cube of 4. While in other words, determining the cube root of a number involves the reverse process of the cube of a number and is represented by ∛.

For example, 5 is said to be the cube root of the number 125 and is written as ∛125 = 5. in this article learn about the cubes and cube roots of a number.

**What is a Cube Number?**

A cube number is an answer when a number has been multiplied by three times itself, the resultant **product **of the number is known as the cube of the original number. In other words, a number raised to **exponent** 3 is called the cube of a number. For example, the cube of 2 is 8.

**What is Cube Root?**

In mathematics, the definition of cube root is written as Cube root is the number that needs to be multiplied three times to obtain the original number. Cube root formula, where y is the cube root of x. it can be written ∛x = y. The radical sign ∛ is used as a cube root. Another way to represent cube roots is to write 1/3 as the exponent of a number.

Cube root is an inverse process of the cube of a number.

**Cube Roots Formula**

The cube root formula helps in determining the cube root of any given number that is expressed in a radical form using the symbol ∛. It can be determined by first finding out the prime factorization of the given number and then later applying the cube root formula. let, x is any number such that, x = y × y × y.

The formula to find the cube root is given number:

Cube root of x = ∛x = ∛(y × y × y) = y

Where y is the cube root of any number x. This also said that the number x would be a perfect cube if y has an integer value.

**Application Cube Roots Formula**

A few major applications of the cube root formula, are given below

- calculate the dimensions of a cube if the volume is given
- solve the cubic equations
- Provide a more precise dimension of an apartment, etc.

**Perfect Cube**

A perfect cube is an integer that can be expressed as the multiplying of three same or equal integers.

** For example:**

8 is a perfect cube because 2^{3} = 2 × 2 × 2= 8. However, 121 is not a perfect cube because there is no number, which when multiplied three times gives the answer 121.

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