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Last updated on May 26th, 2025

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Cube Root Of 864

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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 864 for Bahraini Students
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What Is The Cube Root Of 864?

The cube root of 864 is the number which, when multiplied three times, we get a number that is equal to 864. Let’s explore some steps and methods to calculate the cube root of 864.


The cube root of 864: ∛864 = 9.524


The exponential form of the cube root of 864: 8641/3


The radical form of the cube root of 864: ∛864
 

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Finding The Cube Root Of 864

To find the cube root of 864, 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 864 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, 864
x = an approximate number close to the cube root of the number, 864:  93= 729


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


A = 864, for the approximate method we choose, x = 9, it is the nearest cube (93= 729). 


Now apply the formula; 


∛a ≅ x((x3+2a) / (2x3+a))


∛864 ≅ 9((93+2 × 864) / (2 × 93+864)) = 9.524


Hence, the approximate cube of 864 ≅ 9.524
 

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Common Mistakes and How to Avoid Them in Cube Root of 864

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Cube Root of 864 Examples

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Problem 1

Find the volume of a cube with side ∛864​.

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Explanation

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Problem 2

Solve for y if y³=864×2.

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Explanation

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Problem 3

Simplify 864¹/³×864²/³

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Explanation

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Problem 4

Calculate ∛(864×864​).

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Explanation

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FAQs For Cube Root Of 864

1.What is the cube root of 864?

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2. Is the cube root of 864 a whole number?

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3. Is the cube root of 864 rational or irrational?

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4.Can I find the cube root of 864 using exponents?

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5.How does the cube root of 864 compare to the square root?

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

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7.How can cultural or local activities in Bahrain support learning Algebra topics such as Cube Root Of 864?

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8.How do technology and digital tools in Bahrain support learning Algebra and Cube Root Of 864?

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

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Important Glossaries for Cube Root of 864

  • 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 Bahrain

At BrightChamps, we understand algebra is more than digits—it’s a key to many opportunities! We strive to help children across Bahrain build essential math skills, focusing today on the Cube Root Of 864 with a special focus on cube roots—in a lively, enjoyable, and easy-to-follow way. Whether your child is figuring out the speed of a roller coaster at Bahrain’s Wahooo! Waterpark, keeping track of scores at a local football match, or managing their allowance to buy the latest gadgets, mastering algebra gives them confidence for everyday challenges. Our interactive lessons make learning simple and fun. Recognizing that kids in Bahrain learn in different ways, we adapt our approach to suit each child’s unique style. From the lively city of Manama to the tranquil beaches, BrightChamps brings math alive, making it exciting all over Bahrain. Let’s make cube roots a fun part of every child’s math adventure!
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