BrightChamps Logo
Hamburger Menu Icon for BrightChamps Website Navigation
Login
Creative Math Ideas Image
Live Math Learners Count Icon209 Learners

Last updated on May 26th, 2025

Math Whiteboard Illustration

Cube Root of 28

Professor Greenline Explaining Math Concepts

The cube root of a number is a value that when multiplied by itself three times gives back the original number. We apply the function of cube roots in the fields of engineering, designing, financial mathematics, and many more. Let's learn more about the cube root of 28.

Cube Root of 28 for Qatari Students
Professor Greenline from BrightChamps

What is the Cube Root of 28?


The cube root can be classified into two categories: perfect cubes and non-perfect cubes. For example, the cube root of 64 is 4 which is a whole number, making it a perfect cube. However, the cube root of 28 is not a whole number. The cube root of 28 is approximately 3.04.

The cube root of 28 is represented using the radical sign as ∛28, and can also be written in exponential form as 281/3. The prime factorization of 28 is 22 × 7. It is also an irrational number where ∛28 cannot be expressed in the form of p/q where both p and q are integers and q ≠ 0. 


 

Professor Greenline from BrightChamps

Finding the Cube Root of 28

Finding cube roots for perfect cubes is easy, but for non-perfect cubes, the process can be a bit tricky. For non-perfect cubes, we can use Halley’s method. Let’s explore how this method helps us find the cube root of 28.
 

Professor Greenline from BrightChamps

Cube Root of 28 by Halley’s Method

Halley’s method is a step-by-step way to find the cube root of a non-perfect cube number. Here, we will find the value of ‘a’ where a3 is the non-perfect cube


∛a≅  x (x3+2a) /  (2x3+a) is the formula used in this method. 

 

As 28 is a non-perfect cube number, it lies between the two perfect cube numbers. Here, ‘a’ lies between 27 (33) and 64 (43). 


By applying Halley’s Method, we get.


Step 1: Let the number ‘a’ = 28. Start by taking ‘x’ = 3, as 27 (∛27 = 3) is the nearest perfect cube which is closer to 28


Step 2: Apply the value of ‘a = 28’ and ‘x = 3’ in the formula: 


 âˆ›a≅  x (x3+2a) / (2x3+a)

 

Step 3: The formula will be, 


 âˆ›28 ≅  3 x (33+2*28) / (2*33+28)

 

Step 4: After simplifying, we get the cube root of 28 as 3.036588972
 

Max Pointing Out Common Math Mistakes

Common Mistakes and How to Avoid Them in the Cube Root of 28

Max from BrightChamps Saying "Hey"

Cube Root of 28 Examples

Ray, the Character from BrightChamps Explaining Math Concepts
Max, the Girl Character from BrightChamps

Problem 1

What is the cube root of 28 rounded to three decimal places?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Explanation

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 2

How would you write the cube root of 28 as a mathematical expression?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Explanation

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 3

Which two whole numbers does the cube root of 28 fall between?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Explanation

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 4

Is 3.037 the exact cube root of 28?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Explanation

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 5

How close is the cube root of 28 to the cube root of 30?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Explanation

Max from BrightChamps Praising Clear Math Explanations
Ray Thinking Deeply About Math Problems

FAQs For Cube Root Of 28

1.Is the cube root of 28 rational?

Math FAQ Answers Dropdown Arrow

2.What is the cube root of 28?

Math FAQ Answers Dropdown Arrow

3.How do you manually calculate the cube root of 28?

Math FAQ Answers Dropdown Arrow

4.What are some methods to approximate the cube root of 28?

Math FAQ Answers Dropdown Arrow

5.What is the cube root of 28 to more decimal places?

Math FAQ Answers Dropdown Arrow

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

Math FAQ Answers Dropdown Arrow

7.How can cultural or local activities in Qatar support learning Algebra topics such as Cube Root of 28?

Math FAQ Answers Dropdown Arrow

8.How do technology and digital tools in Qatar support learning Algebra and Cube Root of 28?

Math FAQ Answers Dropdown Arrow

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

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries For Cube Root Of 28

  • Fraction: It is a way to show a part of something. For example, in the fraction 25 , it means you have 2 out of 5 equal parts. 

 

  • Exponent: It is a smaller number that shows us how many times we multiply the number by itself. For example, in 33, 3 is the exponent, which means we multiply 3 three times.

 

  • Non-terminating: Numbers that go on infinite times without an end. For example, 3.1415926535

 

  • Decimal: A number that includes a whole part and a fractional part, which is separated by a dot (.) like 0.5, 3.14, etc., 

 

  • Perfect cube: A number that can be expressed as the product of a whole number multiplied by itself three times, like the cube root of 8 is 2 which is a perfect cube. However, the number cannot be expressed as a whole number when finding its cube root, a non-perfect cube like 28.
     
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 28 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!
Math Teacher Background Image
Math Teacher Image

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.

Math Teacher Fun Facts Image
Max, the Girl Character from BrightChamps

Fun Fact

: He loves to play the quiz with kids through algebra to make kids love it.

INDONESIA - Axa Tower 45th floor, JL prof. Dr Satrio Kav. 18, Kel. Karet Kuningan, Kec. Setiabudi, Kota Adm. Jakarta Selatan, Prov. DKI Jakarta
INDIA - H.No. 8-2-699/1, SyNo. 346, Rd No. 12, Banjara Hills, Hyderabad, Telangana - 500034
SINGAPORE - 60 Paya Lebar Road #05-16, Paya Lebar Square, Singapore (409051)
USA - 251, Little Falls Drive, Wilmington, Delaware 19808
VIETNAM (Office 1) - Hung Vuong Building, 670 Ba Thang Hai, ward 14, district 10, Ho Chi Minh City
VIETNAM (Office 2) - 143 Nguyễn Thị Thập, Khu đô thị Him Lam, Quận 7, Thành phố Hồ Chí Minh 700000, Vietnam
Dubai - BrightChamps, 8W building 5th Floor, DAFZ, Dubai, United Arab Emirates
UK - Ground floor, Redwood House, Brotherswood Court, Almondsbury Business Park, Bristol, BS32 4QW, United Kingdom