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Last updated on December 24th, 2024

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Cube Root of 28

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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 US Students
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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. 


 

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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.
 

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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
 

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

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Cube Root of 28 Examples

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Problem 1

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

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Explanation

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Problem 2

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

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Explanation

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Problem 3

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

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Explanation

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Problem 4

Is 3.037 the exact cube root of 28?

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Explanation

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Problem 5

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

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Explanation

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FAQs For Cube Root Of 28

1.Is the cube root of 28 rational?

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2.What is the cube root of 28?

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

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

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

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

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

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

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

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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.
     
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About BrightChamps in United States

At BrightChamps, we understand algebra is much more than just symbols—it’s a key to unlocking endless possibilities! Our goal is to support children across the United States in mastering essential math concepts, including today’s spotlight on the Cube Root of 28 with a special emphasis on understanding cube roots—in a way that’s engaging, enjoyable, and easy to grasp. Whether your child is calculating the speed of a roller coaster at Disney World, tallying scores at a Little League baseball game, or budgeting their allowance for the latest gadgets, mastering algebra builds the confidence they need for everyday life. Our interactive sessions simplify learning and make it enjoyable. Since children in the USA learn in diverse ways, we customize our approach to suit each child’s unique needs. From the lively streets of New York City to the sunny beaches of California, BrightChamps brings math alive, making it relevant and exciting across America. Let’s turn cube roots into a fun part of every child’s math adventure!
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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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