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Last updated on November 30th, 2024

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Cube root of 729

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The cube root of 729 is the value “y” such that the number “y” is multiplied thrice by itself. ∛ is the symbol used to denote the cube root of a number. Cube roots are used in designing loudspeakers or in pharmacology for correct dosage of medicine as per body weight.

Cube root of 729 for UK Students
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What is the cube root of 729?

The cube root of 729 is 9. The cube root of 729 is expressed as ∛729 in radical form, where the “∛"  sign is called the “radical” sign. In exponential form, it is written as (729)
 

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Finding the cube root of 729

We can find the cube root of 729, mainly through two methods: 

 

  • Prime Factorization method.

 

  • Subtraction method.
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Cube root of 729 by Prime Factorization method

Finding a cube root of 729 through the Prime Factorization method involves determining the factor of 729.


Step 1 — Find the prime factors of 729. 


So 729 = 3×3×3×3×3×3


Step 2 — Group the factors of 729 in a group of 3.


Step 3 — Since 729 is a perfect cube, we have two pairs of 3 digits.


The cube root of 729 can be written as ∛729 = ∛(3×3×3)×(3×3×3) = 3×3 = 9 


Therefore, the cube root of 729 is 9.

 

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Cube root of 729 by Subtraction method

The subtraction method involves subtracting successive odd numbers repeatedly. 


Subtract the numbers 1,7,19,37,61,91,127,169,217,331,397……..successively till we get a zero.


Step 1 — Subtract the 1st odd number : 729–1 = 728 


Step 2 — Subtract the next odd number: 728–7 = 721


Step 3 — Subtract the next odd number: 721–19 = 702


Step 4 — Subtract the next odd number: 702–37 = 665


Step 5 — Subtract the next odd number: 665-61 = 604


Step 6 — Subtract the next odd number: 604-91 = 513


Step 7 — Subtract the next odd number: 513-127 = 386


Step 8 — Subtract the next odd number: 386-169 = 217


Step 9 — Subtract the next odd number: 217-217 = 00

 

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


Hence, the cube root of 729 is 9. 

 

729-1 = 728


728-7 = 721


721-19 = 702


702-37 = 665


665-61 = 604


604-91 = 513


513-127 = 386


386-169 = 217


217-217 = 00 
 

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Common Mistakes and How to Avoid Them in the Cubic Root of 729

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The cubic root of 729 examples

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Problem 1

A cubical box has a volume of 729 cubic inches. Find the edge length of the box.

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Explanation

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Problem 2

Find the value of 4∛729–25

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Explanation

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Problem 3

Express the cube root of 729 in radical form.

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Explanation

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FAQs on 729 Cubic root

1.Is ∛729 rational number ?

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2.Is 729 divisible by 3?

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3.Is 512 a perfect cube ?

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4.Is 9 a factor of 729

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5.Is 5171 prime number?

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

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7.How can cultural or local activities in United Kingdom support learning Algebra topics such as Cube root of 729?

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8.How do technology and digital tools in United Kingdom support learning Algebra and Cube root of 729?

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

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Important Glossaries for Cube Root of 729

  • Exponent :The power to which the number is raised. In (729), 1/3 is the exponent. 

 

  • Irrational number:A number that cannot be expressed as a simple fraction.

 

  • Rational number: A number that can be expressed as the quotient of two integers. 

 

  • Inverse operations:An operation that reverses the effect of another operation. 


 

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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 729, 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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