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Last updated on January 6th, 2025

Cube Root Of 1080

Q: What is the approximate value of the cube root of 1080?

The cube root of 1080 is approximately 10.259. This is because ∛1080 ≈ 10.2798, a non-integer that cannot be simplified to a whole number.

Q: Is the cube root of 1080 a rational number?

The cube root of 1080 is an irrational number because the cube root of a number cannot be expressed in the form of a fraction of 2 integers.

Q: Can 1080 be expressed as a perfect cube?

1080 isn’t a perfect cube. Frequently prime factors can be 2, 3, 5, but when taken to the third power, none of the resulting numbers is an integer.

Q: What is the prime factorization of 1080?

The prime factorization of 1080 is 23×33×5. This factorization can help in estimating the cube root

Q: Is the cube root of 1080 a terminating or repeating decimal?

That is an irrational, non-terminating, non-repeating number, so it doesn’t have a precise fractional representation.

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

A cube root of a number is a value, when it is multiplied by itself three times, gives the original number. Imagine you have a cube (box) with the known volume. The cube root helps us determine the length of one side of the box.

What Is The Cube Root Of 1080?

The cube root of 1080 is the number which, when multiplied three times, we get a number that is equal to 1080. Let’s explore some steps and methods to calculate the cube root of 1080.

The cube root of 1080: ∛1080 = 10.259

The exponential form of the cube root of 1080: 1080^1/3

The radical form of the cube root of 1080: ∛1080

Finding The Cube Root Of 1080

To find the cube root of 1080, we use the following methods:

Prime factorization
Approximation method
Long division
Subtraction method
Halley’s method is used for those numbers which are not perfect cubes.

Cube Root Of 1080 By Halley’s Method

We use the below formula to find the cube root using Halley’s Method;
∛a≅ x((x³+2a) / (2x³+a))

In the formula;
a = given number, 1080
x = an approximate number close to the cube root of the number, 1080: 10³= 1000

Let’s apply the formula and find the Cube Root:

A = 1080, for the approximate method we choose, x = 10, it is the nearest cube (10³= 1000).

Now apply the formula;

∛a≅ x((x³+2a) / (2x³+a))

∛1080≅ 10((10³+2 × 1080) / (2 × 10³+1080)) = 10.259

Hence, the approximate cube of 1080 ≅ 10.259

Common Mistakes and How to Avoid Them in Cube Root of 1080

Cube root Examples of 1080

Ray, the Character from BrightChamps Explaining Math Concepts

Problem 1

Calculate (∛1080)³.

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Explanation

Problem 2

Find ∛1080×∛27.

Explanation

Problem 3

Find 5+∛1080.

Explanation

Problem 4

Calculate 20 − ∛1080.

Explanation

FAQs For Cube Root Of 1080

1.What is the approximate value of the cube root of 1080?

2.Is the cube root of 1080 a rational number?

3. Can 1080 be expressed as a perfect cube?

4.What is the prime factorization of 1080?

5.Is the cube root of 1080 a terminating or repeating decimal?

Important Glossaries for Cube Root of 1080

Whole numbers : The whole numbers are the set of numbers that consists of natural numbers and zero. Example: 0,1,2,3………..

Square root : A number’s square root is considered a number that when it is multiplied by itself results in the same number. Example: √4 is 2.

Exponent: It is a number which represents how many times a base number should be multiplied.Example: 4²=4 x 4 = 16

Irrational number: The number that cannot be expressed in the form of fraction.Example: √2 is an irrational number.

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Jaskaran Singh Saluja

About the Author

Jaskaran Singh Saluja is a math wizard with nearly three years of experience as a math teacher. His expertise is in algebra, so he can make algebra classes interesting by turning tricky equations into simple puzzles.