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Last updated on January 10th, 2025

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Cube Root of 100

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The cube root of 100 is the value that, when multiplied by itself three times (cubed), gives the original number 100. Do you know? Cube roots apply to our real life also, like that for measuring dimensions, creating digital art, field of engineering, making financial decisions etc.

Cube Root of 100 for US Students
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What Is the Cube Root of 100?

The cube root of 100 is 4.64158883361. The cube root of 100 is expressed as ∛100 in radical form, where the “ ∛ ”  sign  is called the “radical” sign. In exponential form, it is written as (100). If “m” is the cube root of 100, then, m3=100. Let us find the value of “m”.

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Finding the Cube Root of 100

The cube root of 100 is expressed as ∛100 as its simplest radical form,

 

since 100 = 2×2×5×5


∛100 = ∛(2×2×5×5)


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


∛100= ∛100 


 We can find cube root of 100 through a method, named as, Halley’s Method. Let us see how it finds the result.
 

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Cube Root of 100 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 100.


Step 1: Let a=100. Let us take x as 4, since, 43=64 is the nearest perfect cube which is less than 100.


Step 2: Apply the formula.  ∛100≅ 4((43+2×100) / (2(4)3+100))= 4.63…


Hence, 4.63… is the approximate cubic root of 100.
 

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Common Mistakes and How to Avoid Them in the Cube Root of 100

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Cube Root of 100 Examples

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Problem 1

Find (∛200/ ∛100) × (∛200/ ∛100) × (∛200/ ∛100)

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Explanation

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Problem 2

If y = ∛100, find y³/ y⁶

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Explanation

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Problem 3

Multiply ∛100 × ∛125

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Explanation

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Problem 4

What is ∛(100⁶) ?

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Explanation

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Problem 5

Find ∛(100+(-36)).

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Explanation

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FAQs on 100 Cube Root

1.What are the perfect cubes less than 100?

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2.Is 14 a perfect square ?

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3.What is the cube root of 8?

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4.Is 100 a cube number?

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5.How to solve ∛1000 ?

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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 100?

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8.How do technology and digital tools in United States support learning Algebra and Cube Root of 100?

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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 100

  • Integers: Integers can be a positive natural number, a negative of a positive number, or zero. We can perform all the arithmetic operations on integers. The examples of integers are, 1, 2, 5,8, -8, -12, etc.

 

  • Whole numbers: The whole numbers are part of the number system, which includes all the positive integers from 0 to infinity. 

 

  • Square root: The square root of a number is a value “y” such that when “y” is multiplied by itself → y ⤫ y, the result is the original number.

 

  • 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 that is nearly correct, but not perfectly correct.

 

  • Iterative method : This method is a mathematical process that uses an initial value to generate a further and step-by-step sequence of solutions for a problem.
     
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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 100 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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