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Last updated on November 30th, 2024

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Cube Root of 250

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The cube root of 250 is the value which, when multiplied by itself three times (cubed), gives the original number 250. Do you know? Cube roots apply to our real life also, like that for measuring dimensions, density and mass, creating unique digital art etc.

Cube Root of 250 for UAE Students
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What Is the Cubic Root of 250?

The cube root of 250 is 6.29960524947. The cube root of 250 is expressed as ∛250 in radical form, where the “ ∛ “  sign" is called the “radical” sign. In exponential form, it is written as (250)1/3.  If “m” is the cube root of 250, then, m3=250.  Let us find the value of “m”.
 

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Finding the Cube Root of 250

The cube root of 250 is expressed as 5∛2 as its simplest radical form, since


 250 = 5×5×5×2


∛250 = ∛(5×5×5×2)


Group together three same factors at a time and put the remaining factor under ∛ .


∛250= 5∛2 


 We can find cube roots of 250 through a method, named as, Halley’s Method. Let us see how it finds the result.
 

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Cube Root of 250 By Halley’s Method

Now, what is Halley’s Method? It is an iterative method for finding cube roots of a given number N, such that, x3=N, where this method approximates the value of “x”.


Formula is ∛a≅ x((x3+2a) / (2x3+a)), where 


a=given number whose cube root you are going to find


x=integer guess for the cubic root


Let us apply Halley’s method on the given number 250.


Step 1: Let a=250. Let us take x as 6, since 63=216 is the nearest perfect cube which is less than 250.


Step 2: Apply the formula.  âˆ›250≅ 6((63+2×250) / (2(6)3+250))= 6.29…


Hence, 6.29… is the approximate cubic root of 250.
 

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Common Mistakes and How to Avoid Them in the Cube Root of 250

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Cube Root of 250 Examples

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Problem 1

Find ∛250/ ∛240

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Explanation

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Problem 2

The Volume of a cube is 250 cubic centimeters, find the length of one side of the cube.

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Explanation

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Problem 3

Subtract ∛250 - ∛216, ∛343-∛250

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Explanation

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Problem 4

What is ∛(250²) ?

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Explanation

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Problem 5

Find ∛((250+93)×(250+262)).

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Explanation

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FAQs on 250 Cube Root

1.What is the simplest form of 3√250 ?

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2.What number cube is 250?

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3.Is 250 a square root?

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4.How to find the cube root of 255?

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5.Is the ∛250 irrational?

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

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7.How can cultural or local activities in United Arab Emirates support learning Algebra topics such as Cube Root of 250?

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8.How do technology and digital tools in United Arab Emirates support learning Algebra and Cube Root of 250?

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

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Important Glossaries for Cube Root of 250

  • Irrational Numbers - Numbers which cannot be expressed as p/q, where p and q are integers and q not equal to 0 are called Irrational numbers. 

 

  • Whole numbers - The whole numbers are part of the number system, which includes all the positive integers from 0 to infinity. These cannot be in fractional or decimal form. 

 

  • Square root -The square root of a number is a value, which, on multiplication by itself, gives the original number, such that √x = y, where y×y = x.

 

  • Polynomial - It is an algebraic expression made up of variables like “x” and constants, combined using addition, subtraction, multiplication, or division, where the variables are raised to whole number exponents.

 

  • Approximation - Finding out a value which is nearly correct, but not perfectly correct, as if the approximate value is just near and close to the original value.

 

  • Iterative method - This method is a process, used in mathematics, which uses an initial value to generate further and step-by-step sequence of solutions for a problem.


 

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About BrightChamps in United Arab Emirates

At BrightChamps, we recognize algebra as more than numbers—it’s the pathway to endless possibilities! We strive to help children across the UAE master key math skills, focusing today on the Cube Root of 250 with an emphasis on understanding cube roots—in a lively, enjoyable, and easy-to-understand way. Whether your child is figuring out the speed of a roller coaster at Dubai Parks and Resorts, keeping track of scores at a local football match, or managing their allowance to buy the latest gadgets, mastering algebra builds confidence for daily challenges. Our interactive lessons are designed to be fun and simple. Aware that children in the UAE learn in various ways, we personalize our teaching to each child’s style. From the towering skyscrapers of Dubai to the cultural heritage of Abu Dhabi, BrightChamps brings math to life, making it engaging throughout the UAE. 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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