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Last updated on November 30th, 2024

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Cube Root of 288

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We will learn the cube root concept to use it on other mathematical topics like algebra, mensuration, geometry, trigonometry, etc. So, it is as important as learning square roots. Let us now see how we can obtain the cube root value of 288, and its examples.

Cube Root of 288 for UAE Students
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What Is the Cube Root of 288?

The cube root of 288 is the value which, when multiplied by itself three times (cubed), gives the original number 288.

The cube root of 288 is 6.60385449779.  The cube root of, 288 is expressed as ∛288 in radical form, where the “ ∛ ”  sign” is called the “radical” sign. In exponential form, it is written as (288)â…“. If “m” is the cube root of 288, then, m3=288. Let us find the value of “m”.
 

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Finding the Cubic Root of 288

We can find cube roots of 288 through a method, named as, Halley’s Method. Let us see how it finds the result.
 

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Cubic Root of 288 By Halley’s Method

Now, what is Halley’s Method? It is an iterative method for finding cube roots of a given number N, such that, x3=N, where this method approximates the value of “x”.


Formula is ∛a≅ x((x3+2a) / (2x3+a)), where


a=given number whose cube root you are going to find


x=integer guess for the cubic root


Let us apply Halley’s method on the given number, 288.


Step 1: Let a=288. Let us take x as 6, since 63=216 is the nearest perfect cube which is less than 288.


Step 2: Apply the formula.  âˆ›288≅ 6((63+2×288) / (2(6)3+288)) = 6.6…


Hence, 6.6… is the approximate cubic root of 288.


 

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Common Mistakes and How to Avoid Them in the Cube Root of 288

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Cube Root of 288 Examples

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Problem 1

Find ∛288/ ∛8

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Explanation

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Problem 2

The Volume of a cube is 288 cubic centimeters, find the length of one side of the cube.

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Explanation

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Problem 3

Subtract ∛288 - ∛216

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Explanation

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Problem 4

What is ∛(288²) ?

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Explanation

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Problem 5

Find ∛(288+55).

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Explanation

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FAQs on 288 Cube Root

1.What is ∛729?

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2.What is ∛288 in fraction?

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3.What is the prime factorization of 28?

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4.Is √625 a polynomial?

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5.How does learning Algebra help students in United Arab Emirates make better decisions in daily life?

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6.How can cultural or local activities in United Arab Emirates support learning Algebra topics such as Cube Root of 288?

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7.How do technology and digital tools in United Arab Emirates support learning Algebra and Cube Root of 288?

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

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Important Glossaries for Cube Root of 288

  • Cube root properties - The features when cube root is applied to any number. Those are: 1) The cube root of all odd numbers is an odd number. The same applies for even numbers also, that is, the cube of any even number is even. 

 

2) The cube root of a negative number is also negative.


3) If the cube root of a number is a whole number, then that original number is said to be perfect cube

 

  • Irrational Numbers - Numbers which cannot be expressed as m/n form, where m and n are integers and n not equal to 0, are called Irrational numbers.

 

  • Square root -The square root of a number is a number which when multiplied by itself produces the original number, whose square root is to be found out.

 

  • Polynomial - It is an algebraic expression made up of variables like “x” and constants, combined using addition, subtraction, multiplication, or division, where the variables are raised to whole number exponents.

 

  • Approximation - Finding out a value which is near to the correct answer, but not perfectly correct.

 

  • Iterative method - This method is a mathematical process which uses an initial value to generate a further sequence of solutions for a problem, step-by-step. 


 

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About BrightChamps in United Arab Emirates

At BrightChamps, we recognize algebra as more than numbers—it’s the pathway to endless possibilities! We strive to help children across the UAE master key math skills, focusing today on the Cube Root of 288 with an emphasis on understanding cube roots—in a lively, enjoyable, and easy-to-understand way. Whether your child is figuring out the speed of a roller coaster at Dubai Parks and Resorts, keeping track of scores at a local football match, or managing their allowance to buy the latest gadgets, mastering algebra builds confidence for daily challenges. Our interactive lessons are designed to be fun and simple. Aware that children in the UAE learn in various ways, we personalize our teaching to each child’s style. From the towering skyscrapers of Dubai to the cultural heritage of Abu Dhabi, BrightChamps brings math to life, making it engaging throughout the UAE. Let’s make cube roots an enjoyable 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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