Cube Root of 8

Cube Root of 8 is 2. Cube root of a number is a value that, when multiplied by itself twice (or cubed), results in the original number. 8 can be expressed as 2 × 2 × 2, which indicates that when 2 is multiplied by itself twice gives the product as 8. Therefore, the cube root of 8 = ∛(2 × 2 × 2) = 2.

In this article, we will learn about cube root of 8, methods to calculate the value of cube root 8 and some solved examples based on cube root of 8.

What is Cube Root of 8?

A cube root is a number that, after multiplying by itself twice, could give the original number. For the number 8, the cube root is the number which when multiplied by itself twice results in 8.

Mathematically, if x is the cube root of 8, it can be represented as:

x³ = 8

Cube root of 8 is 2, because 2 × 2 × 2 = 2³ = 8.

Cube Root Definition

Cube root of a number is a value that, when multiplied by itself two times, gives the original value. Cube Root is denoted by the symbol ‘∛’.

Mathematically, if x is a real number, the cube root of x is denoted as ∛x​, and it satisfies the equation:

(∛x)³ = x

For example, the cube root of 27 is 3 because 3 × 3 × 3 = 3³ = 27.

Cube Root of 8 Calculator

How to Calculate the Value of Cube Root of 8

We can calculate cube root of 8 using following method:

• Prime Factorization

Lets find the cube root of 8 using the above mentioned method.

Cube Root of 8 By Prime Factorization

Cube root of 8 can be determined by using prime factorization method. To calculate the cube root of 8, you should follow the steps below:

Step 1: Find the Prime Factors of 8.

Prime Factor of 8

Step 2: Group the common factors in the pair of three i.e.,

8 = 2 × 2 × 2 = 2³ (Here only one triplet of 2 is present)

Therefore, ∛8= ∛(2×2×2).

∛8 = ∛2³.

So, we have ∛8= 2.

Hence, ∛8 = 2.

Is Cube Root of 8 Irrational?

Cube root of 8 is a rational number. For the positive integer 8, its cube root is expressed by writing it as a power of an algebraic expression, this means that cube root(8) = 2×2×2 as (2³ = 8). Likewise, 2 is a rational number which can be written as numerical quotient of two integers thus cube root of 8 will also be rational.

Read More,

• Perfect Cube of Numbers
• Cubes 1 to 30
• Cube root of a number
• Cube root of 1728

Solved Examples on Cube Root of 8

Example 1: Evaluate the value of ∛8 × ∛-8.

Solution

We know, ∛8 = 2.

Also, ∛-8 = -2

Hence, ∛8 × ∛-8 = 2 × -2 = -4

Example 2: Compute x based on the Equation x³ = 8.

Solution:

Given x³ = 8

⇒ x = ∛8 = 2.

Hence, x = 2

Example 3: Find the cube root of 15625.

Solution:

The factors of 15625 are = 5 x 5 x 5 x 5 x 5 x 5.

15625 = (5 x 5 x 5) x (5 x 5 x 5) = 5 x 5 = 25 So, the cube root of 15625 is 25.

∛15625 = 25

Practice Questions

Question 1: Calculate the cube root of 8.

Question 2: Find the cube root of each of the following numbers:

• 64
• 27
• 125
• 343

Question 3: Evaluate the value of ∛8 + ∛-8.

Cube Root of 8: FAQs

What is Value of Cube Root of 8?

The cube root for 8 is 2 because (2³ = 8).

What is the Cube Root of 8/27?

The value of cube root of 8/27 is 2/3 as (2/3)³ = 8/27.

What is Cube Root of Negative 8?

Value of cube root of -8 is -2 as (-2)³ = -8.

What is Square Root of 8?

Square Root of 8 is 2√2 ≈ 2.828.

Is Cube Root of 8 an Irrational Number?

No, the cube root of 8 is not an irrational number as ∛8 = 2.

Is 8 a Perfect Cube?

The cube root of 8 is 2, which is a whole number, therefore, 8 is a perfect cube.