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Last updated on May 26th, 2025

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Cube Root Of 53

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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. In this article, we will learn about the cube root of 53.

Cube Root Of 53 for Thai Students
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What Is The Cube Root Of 53?

The cube root of 53 is the number which, when multiplied three times, we get a number that is equal to 53. Let’s explore some steps and methods to calculate the cube root of 53.


The cube root of 53: ∛53= 3.75


The exponential form of the cube root of 53: 531/3


The radical form of the cube root of 53: ∛53
 

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Finding The Cube Root Of 53

To find the cube root of 53, 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.
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Cube Root of 53 using the 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, 53


x = an approximate number close to the cube root of the number, 53:  33= 27


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


A = 53, for the approximate method we choose, x = 3, it is the nearest cube (33= 27). 


Now apply the formula; 


∛a ≅ x((x3+2a) / (2x3+a))


∛53 ≅ 3((33+2 × 53) / (2 × 33+53)) = 3.75


Hence, the approximate cube of 53 ≅ 3.75

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Common Mistakes and How to Avoid Them in Finding the Cube Root of 53

While learning about cube roots, children making mistakes is common, so to avoid a few mistakes that are likely to happen, below are a few mistakes and how to avoid these:

Mistake 1

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Getting confused with the cube root and square root
 

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Students sometimes multiply the same number twice instead of thrice, which makes it a square root and not a cube root. Because of this, improper results are to be found. To avoid these, students should practice square roots and cube roots regularly.
 

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Cube Root of 53 Examples

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Problem 1

What is ∛53 × 2?

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Solution:


 âˆ›53 = 3.75


 âˆ›53 × 2 ≈ 3.75 × 2 = 7.5.
 

Explanation

 Doubling the cube root gives approximately 7.5
 

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Problem 2

What is ∛53 + 4?

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∛53 = 3.75
∛53 + 4 ≈ 3.75 + 4 = 7.75.
 

Explanation

 Adding 4 to the cube root yields approximately 7.75.
 

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Problem 3

What is 53 divided by ∛53?

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∛53 = 3.75
53 ÷ 3.75 ≈ 14.13
 

Explanation

 Dividing 53 by its cube root gives approximately 14.13.
 

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Problem 4

Simplify 1/∛53.

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∛53 = 3.75
 1 ÷ 3.75 ≈ 0.26.
 

Explanation

Taking the reciprocal of the cube root results in approximately 0.26.
 

 

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Problem 5

If a volume is 53 cubic meters, what is the side of a cube with this volume?

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V = 53
Side (S) = ∛53
∛53 ≈ 3.75 meters.
 

Explanation

Taking the cube root of the volume gives the cube’s side.

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FAQs For Cube Root Of 53

1.What is the approximate value of the cube root of 53?

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2.Is the cube root of 53 a rational number?

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3. How to represent the cube root of 53 in radical form?

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4.Can the cube root of 53 be expressed as a fraction?

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5. How does the cube root of 53 relate to its prime factors?

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6.How does learning Algebra help students in Thailand make better decisions in daily life?

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7.How can cultural or local activities in Thailand support learning Algebra topics such as Cube Root Of 53?

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8.How do technology and digital tools in Thailand support learning Algebra and Cube Root Of 53?

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9.Does learning Algebra support future career opportunities for students in Thailand?

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Important Glossaries for Cube Root of 53

  • 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 × 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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About BrightChamps in Thailand

At BrightChamps, we understand algebra is much more than symbols—it’s a way to unlock endless opportunities! We help children throughout Thailand grasp important math concepts, focusing today on the Cube Root Of 53 with a special emphasis on cube roots—in an engaging, enjoyable, and easy-to-understand manner. Whether your child is calculating the speed of a roller coaster at Dream World, keeping score at a local football match, or managing their allowance to buy the latest gadgets, mastering algebra builds the confidence they need in daily life. Our interactive lessons are designed to be both fun and simple. Knowing kids in Thailand learn in diverse ways, we personalize our teaching for each learner. From the bustling streets of Bangkok to the tropical islands of Phuket, BrightChamps makes math relevant and exciting across Thailand. Let’s bring cube roots into every child’s math story!
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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.

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Fun Fact

: He loves to play the quiz with kids through algebra to make kids love it.

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