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Last updated on May 26th, 2025

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Cube Root Of 2000

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A cube root of a number is a value, when it is multiplied three times by itself, 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 2000 for Australian Students
Professor Greenline from BrightChamps

What Is The Cube Root Of 2000?

The cube root of 2000 is the number which, when multiplied three times, we get a number that is equal to 2000. Let’s explore some steps and methods to calculate the cube root of 2000.


The cube root of 2000: ∛2000 = 12.599


The exponential form of the cube root of 2000: 20001/3


The radical form of the cube root of 2000: ∛2000
 

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Finding The Cube Root Of 2000

To find the cube root of 2000, 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 2000 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, 2000
x = an approximate number close to the cube root of the number, 2000:  123 = 1728


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


A = 2000, for the approximate method we choose, x = 12, it is the nearest cube (123 = 1728). 
Now apply the formula; 


∛a ≅ x((x3+2a) / (2x3+a))


∛2000 ≅ 12((123+2 × 2000) / (2 × 123+2000)) = 12.599


Hence, the approximate cube root of 2000 ≅ 12.599
 

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Common Mistakes and How to Avoid Them in Cube Root of 2000

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 2000 Examples

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Problem 1

Evaluate ∛2000 + 5.

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∛2000 = 12.599


 (∛2000 + 5) = 12.599 + 5


  12.599 + 5 = 17.599
 

Explanation

The cube root of 2000 is close to 12.599. When we add 5, we get approximately 17.599.
 

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Problem 2

Find (∛2000)²

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∛2000 = 12.599


(12.6)2=158.74.
 

Explanation

First, find the cube root of 2000, which is about 12.599. Squaring 12.599 to get 158.74.
 

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Problem 3

Solve ∛(2000×1000)​

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∛(2000×1000) =  âˆ›2000000
∛2000000= 126.0
 

Explanation

When we multiply 2000 by 1000, we get 2,000,000. The cube root of 2,000,000 is approximately 126.0
 

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Max, the Girl Character from BrightChamps

Problem 4

Calculate ∛2000 + ∛1000​.

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∛2000 = 12.599, ∛1000​ = 10


 12.599 +10 = 22.599.


 

Explanation

 The cube root of a number is the value that, when multiplied by itself three times, gives the original number.
 

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FAQs For Cube Root Of 2000

1.What is the approximate cube root of 2000?

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2.Is the cube root of 2000 a rational number?

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3.What is the cube of the cube root of 2000?

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4.How does the cube root of 2000 compare to the square root of 2000?

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5. How do you express the cube root of 2000 in exponential form?

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

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7.How can cultural or local activities in Australia support learning Algebra topics such as Cube Root Of 2000?

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8.How do technology and digital tools in Australia support learning Algebra and Cube Root Of 2000?

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

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Professor Greenline from BrightChamps

Important Glossaries for Cube Root of 2000

  • 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: 4^2=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 Australia

At BrightChamps, we know algebra is more than just digits—it’s the gateway to endless opportunities! Our mission is to help children across Australia develop essential math skills, focusing today on the Cube Root Of 2000 with a special emphasis on cube roots—in a way that’s engaging, enjoyable, and easy to understand. Whether your child is calculating the speed of a roller coaster at Luna Park Sydney, keeping score at a local cricket match, or managing their allowance to buy the latest gadgets, mastering algebra gives them the confidence they need for everyday situations. Our interactive lessons keep learning simple and fun. Since kids in Australia learn in various ways, we tailor our teaching to fit each learner’s style. From the vibrant streets of Sydney to the beautiful beaches of the Gold Coast, BrightChamps brings math to life, making it exciting across Australia. Let’s make cube roots a fun part of every child’s math journey!
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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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