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Last updated on November 30th, 2024

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Cube root of 1728

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A cube root of a number is a value that, when multiplied by itself three times, gives the original number. We write the cube root of a whole number like x = ∛x whereby, with x = 1728 specifically, we write the cube of 1728 as ∛1728. Cube roots come in handy to determine & prepare the apt dosage of medicine keeping BMI in mind.

Cube root of 1728 for Qatari Students
Professor Greenline from BrightChamps

What is the cube root of 1728?

We know that 1728 is a perfect cube so the cube root of 1728 will be 12. The cube root of 1728 is written as ∛1728 in radical form and “∛"  sign is called the “radical” sign. In exponential form, it is written as (1728)â…“
 

 

Professor Greenline from BrightChamps

Finding the ∛1728

We can find the cube root of 1728, mainly through two methods: 


i) Prime Factorization method.


ii) Subtraction method. 
 

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Cube root of 1728 by Prime Factorization method

Finding a cube root of 1728 through the Prime Factorization method involves determining the factor of 1728.


Step 1 — Find the prime factors of 1728. 


So the prime factor of 1728 is 2x2x2x2x3x3x3x2x2


Step 2 — Group the factors of 1728 in a group of 3. 


Step 3–We have 9 digits, which makes a set of 3 triplets. Make sure that the triplets are of the same digit. 


Note: During Prime factorization, a pair of 2 digits is made in square roots whereas in a cube a triplet is made. 


The cube root of 1728 can be written as ∛1728 = ∛(2x2x2)x(2x2x2)x(3x3x3) = 2x2x3 = 12


We can say that from the above simplifications and calculations, the cube root of 1728 is 12. 

Professor Greenline from BrightChamps

Cube root of 1728 by Subtraction method

The subtraction method involves subtracting successive numbers repeatedly. 


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

 
Subtracting the successive number method is based on the properties of cubes and the differences between consecutive cubes. 

 

Here, the subtraction took place in 12 steps to reach zero.


We can figure out that the cube root of 1728 is 12.

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Common Mistakes and How to Avoid Them in the Cube Root of 1728

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Cube Root of 1728 Examples

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Problem 1

What is the value of ∛1728 ÷ ∛(-1728)

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Explanation

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Max, the Girl Character from BrightChamps

Problem 2

What should be the value of the unit's digit in the cube root of a cube number.

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Explanation

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FAQs on 1728 Cube Root

1.What is the √1725

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2.Is 9 a perfect cube.

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3.Is 128 a perfect cube.

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4.Is ∛1728 rational

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5.Is 3375 a perfect cube root

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

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7.How can cultural or local activities in Qatar support learning Algebra topics such as Cube root of 1728?

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8.How do technology and digital tools in Qatar support learning Algebra and Cube root of 1728?

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

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Professor Greenline from BrightChamps

Important Glossaries for Cube Root of 1728

Exponential form:It is a way of writing numbers that involve repeated multiplication. 

 

Approximation:Approximation is the value that is not exactly but nearly correct. 


Unit digit:It is the rightmost digit in a number. 

Professor Greenline from BrightChamps

About BrightChamps in Qatar

At BrightChamps, we believe algebra is more than just numbers—it opens doors to endless opportunities! We’re here to help children across Qatar master important math skills, focusing today on the Cube root of 1728 with a special focus on cube roots—in an engaging, enjoyable, and easy-to-understand way. Whether your child is calculating the speed of a roller coaster at Qatar’s Angry Birds World, tracking scores at a local football match, or managing their allowance for the latest gadgets, mastering algebra builds confidence for everyday life. Our interactive lessons are designed to make learning fun and simple. Knowing kids in Qatar learn in diverse ways, we personalize our teaching for each child. From the modern skyline of Doha to the vast desert landscapes, BrightChamps brings math to life, making it exciting across Qatar. Let’s make cube roots a fun 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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