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Last updated on March 28th, 2025

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Cube Root of 54

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The cube root of 54 is the value that, when multiplied by itself three times (cubed), gives the original number 54. Do you know? Cube roots apply to our real life also, like that for measuring dimensions, density and mass, field of engineering etc.

Cube Root of 54 for UAE Students
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What Is the Cubic Root of 54?

The cube root of 54 is 3.77976314968. The cube root of 54 is expressed as ∛54 in radical form, where the “ ∛ “  sign is called the “radical” sign. In exponential form, it is written as (54)â…“. If “m” is the cube root of 54, then, m3=54. Let us find the value of “m”.
 

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Finding the Cube Root of 54

The cube root of 54 is expressed as 3∛2 as its simplest radical form,

 

since 54 = 3×3×3×2


∛54 = ∛(3×3×3×2)


Group together three same factors at a time and put the remaining factor under the ∛ .


∛54= 3∛2 


 We can find cube root of 54 through a method, named as, Halley’s Method. Let us see how it finds the result.
 

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Cube Root of 54 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 54.


Step 1: Let a=54. Let us take x as 3, since, 33=27 is the nearest perfect cube which is less than 54.


Step 2: Apply the formula.  âˆ›54≅ 3((33+2×54) / (2(3)3+54))= 3.75


Hence, 3.75 is the approximate cubic root of 54.
 

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Common Mistakes and How to Avoid Them in the Cube Root of 54

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Cube Root of 54 Examples

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Problem 1

Find ∛54 / 3779.

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Explanation

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Problem 2

Find ∛(54-(-10)).

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Explanation

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Problem 3

What is ∛(54^6) ?

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Explanation

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Problem 4

Multiply ∛54 × ∛64 × ∛125

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Explanation

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Problem 5

Find ∛(16+(-8)+24+(-7)+2).

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Explanation

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FAQs on 54 Cube Root

1.What is 3√54 simplified?

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2.What is the cube of 54?

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3.What is the perfect cube near 54?

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4.What is cube formula?

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5.How do You calculate a cube?

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

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7.How can cultural or local activities in United Arab Emirates support learning Algebra topics such as Cube Root of 54?

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8.How do technology and digital tools in United Arab Emirates support learning Algebra and Cube Root of 54?

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

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Important Glossaries for Cube Root of 54

  • Integers:  Integers can be a positive natural number, negative of a positive number, or zero. We can perform all the arithmetic operations on integers. The examples of integers are, 1, 2, 5,8, -8, -12, etc.

 

  • Whole numbers: The whole numbers are part of the number system, which includes all the positive integers from 0 to infinity. 

 

  • Square root: The square root of a number is a value “y” such that when “y” is multiplied by itself → y × y, the result is the original number.

 

  • 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 nearly correct, but not perfectly correct.

 

  • Iterative method:  This method is a mathematical process which uses an initial value to generate further and step-by-step sequence of solutions for a problem.
     
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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 54 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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