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Last updated on March 28th, 2025

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Cube root of 64

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The cube root of 64 is the value “y” such that the number “y” is multiplied thrice by Itself to get the result as 64. Real life applications of cube roots are in the field of engineering, measuring density and volumes, designing structures, etc.

Cube root of 64 for UK Students
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What is the cube root of 64?

The cube root of 64 is 4. The cube root of 64 is expressed as ∛64 in radical form, where the “∛"  sign is called the “radical” sign. In exponential form, it is written as (64)
 

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Finding the cube root of 64

We can find the cube root of 64, mainly through two methods: 


i) Prime Factorization method.


ii) Subtraction method.
 

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Cube root of 64 by Prime Factorization method

Finding a cube root of 64 through the Prime Factorization method involves determining the factor of 64.


Step 1 — Find the prime factors of 64. 

 

 


 

So, 64 = 2×2×2×2×2×2


Step 2 — Group the factors of 64 together in a group of 3(i.e., power of 3).


Step 3 — Here, we get two triplet groups of factor 2 in the power of 3, i.e., 23 or 2×2×2 

 

The cube root of 64 can be written as ∛64 = ∛(2×2×2)×(2×2×2) = 2×2 = 4 


Therefore, the cube root of 64 is 4.

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Cube root of 64 by Subtraction method

This method involves subtracting successive odd numbers repeatedly. The list of odd numbers that should be subtracted successively are →

 

1,7,19,37,61,91,127,169,217,331,397 … This iteration will continue till we get a zero. 

 

Step 1 — Subtract the 1st odd number : 64–1 = 63 


Step 2 — Subtract the next odd number: 63–7 = 56


Step 3 — Subtract the next odd number: 56–19 = 37


Step 4 — Subtract the next odd number: 37–37 = 00


Here, the subtraction took place four times to reach zero.


Hence, the cube root of 64 is 4. 
 

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Common Mistakes and How to Avoid Them in the Cubic Root of 64

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Cube Root of 64 Examples

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Problem 1

Is 64 a perfect cube?

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Explanation

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Problem 2

If the volume of a cube is 64 cubic units, what is the length of each side?

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Explanation

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Problem 3

Solve the equation (X³ = 64)

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Explanation

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Problem 4

Multiply ∛64 × ∛125

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Explanation

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FAQs on 64 Cube root

1.What is the value of 3∛ 64

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2.Is 12 a cube root?

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3.Is √12 irrational

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4.Is cube root a real number

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

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6.How can cultural or local activities in United Kingdom support learning Algebra topics such as Cube root of 64?

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7.How do technology and digital tools in United Kingdom support learning Algebra and Cube root of 64?

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

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Important Glossaries for Cube Root of 64

  • Cubic root —  The number when multiplied with itself 3 times gives the original number is called as Cubic root.

 

  • Prime Factorization — Find out prime factors for given number.

 

  • Exponent — The number to which the power is raised. In (64), ⅓ is the exponent.

 

  • Irrational number – A number that does not follow the definition of rational.
     
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About BrightChamps in United Kingdom

At BrightChamps, we believe algebra is far more than mere symbols—it opens the door to countless opportunities! Our mission is to help children throughout the United Kingdom build strong math skills, with today’s focus on the Cube root of 64, placing special emphasis on understanding cube roots—in an engaging, enjoyable, and accessible way. Whether your child is working out how fast a roller coaster moves at Alton Towers, keeping score at a local football match, or managing their pocket money for the latest gadgets, mastering algebra gives them confidence for everyday situations. Our interactive lessons are designed to be fun and straightforward. Recognizing that children in the UK learn differently, we adapt our teaching to each child’s individual style. From the bustling streets of London to the picturesque coasts of Cornwall, BrightChamps makes math come alive, exciting learners all over the UK. 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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