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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 US Students
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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
 

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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.
     
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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

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

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Cube Root of 35 Examples

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Problem 1

Calculate ∛35×2.

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Explanation

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Problem 2

Calculate (∛35)².

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Explanation

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Problem 3

Find the value of 3×∛35​.

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Explanation

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Problem 4

Find the cube of ∛35

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Explanation

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Problem 5

Calculate ∛35+1.

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Explanation

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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 United States make better decisions in daily life?

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

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

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

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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.
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About BrightChamps in United States

At BrightChamps, we understand algebra is much more than just symbols—it’s a key to unlocking endless possibilities! Our goal is to support children across the United States in mastering essential math concepts, including today’s spotlight on the Cube Root Of 35 with a special emphasis on understanding cube roots—in a way that’s engaging, enjoyable, and easy to grasp. Whether your child is calculating the speed of a roller coaster at Disney World, tallying scores at a Little League baseball game, or budgeting their allowance for the latest gadgets, mastering algebra builds the confidence they need for everyday life. Our interactive sessions simplify learning and make it enjoyable. Since children in the USA learn in diverse ways, we customize our approach to suit each child’s unique needs. From the lively streets of New York City to the sunny beaches of California, BrightChamps brings math alive, making it relevant and exciting across America. Let’s turn cube roots into a fun part of every child’s math adventure!
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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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