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Last updated on May 26th, 2025

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Cube Root Of 35

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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.

Cube Root Of 35 for Thai Students
Professor Greenline from BrightChamps

What Is The Cube Root Of 35?

The cube root of 35 is the number which, when multiplied three times, we get a number that is equal to 35. Let’s explore some steps and methods to calculate the cube root of 35.


The cube root of 35: ∛35 = 3.271


The exponential form of the cube root of 35: 351/3


The radical form of the cube root of 35: ∛35
 

Professor Greenline from BrightChamps

Finding The Cube Root Of 35

To find the cube root of 35, 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.
     
Professor Greenline from BrightChamps

Cube Root Of 35 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, 35
x = an approximate number close to the cube root of the number, 35:  33= 27


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


A = 35, 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))
∛35 ≅ 3((33+2 × 35) / (2 × 33+35)) = 3.271


Hence, the approximate cube of 35 ≅ 3.271

Max Pointing Out Common Math Mistakes

Common Mistakes and How to Avoid Them in Finding the Cube Root of 35

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 35 Examples

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Max, the Girl Character from BrightChamps

Problem 1

Calculate ∛35×2.

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

∛35 = 3.271


 3.271×2= 6.542
 

Explanation

Doubling the cube root of 35, or 3.271, results in approximately 6.542.
 

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Max, the Girl Character from BrightChamps

Problem 2

Calculate (∛35)².

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

∛35 = 3.271


 3.2712≈10.702
 

Explanation

Squaring 3.271 results in approximately 10.702, the square of the cube root of 35.
 

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Max, the Girl Character from BrightChamps

Problem 3

Find the value of 3×∛35​.

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

.∛35 = 3.271


3×3.271= 9.813.
 

Explanation

Multiplying the cube root of 35 by 3 gives approximately 9.813.
 

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 4

Find the cube of ∛35

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

∛35 = 3.271


2.  (3.271)3=35.
 

Explanation

 The cube root of 35 raised to the third power results in 35, showing the inverse relationship.
 

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 5

Calculate ∛35+1.

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

∛35 = 3.271


3.271 + 1 = 4.271
 

Explanation

Adding 1 to the cube root of 35 gives approximately 4.271.
 

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FAQs For Cube Root Of 35

1.What is the approximate value of the cube root of 35?

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2.Is the cube root of 35 a rational number?

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3.Is the cube root of 35 a real number?

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4.What is the difference between the square root and cube root of 35?

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

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6.How can cultural or local activities in Thailand support learning Algebra topics such as Cube Root Of 35?

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7.How do technology and digital tools in Thailand support learning Algebra and Cube Root Of 35?

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

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Professor Greenline from BrightChamps

Important Glossaries for Cube Root of 35

  • 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.
Professor Greenline from BrightChamps

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 35 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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Max, the Girl Character from BrightChamps

Fun Fact

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

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