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Last updated on March 28th, 2025

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Cube Root of 56

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We will learn the cube root concept to use it on other mathematical topics like algebra, mensuration, geometry, trigonometry, etc. So, it is as important as learning square roots. Let us now see how we can obtain the cube root value of 56, and its examples.

Cube Root of 56 for Saudi Students
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What Is the Cube Root of 56?

The cube root of 56 is the value which, when multiplied by itself three times (cubed), gives the original number 56. The cube root of 56 is 3.82586236554.  The cube root of 56 is expressed as ∛56 in radical form, where the “ ∛ ”  sign” is called the “radical” sign. In exponential form, it is written as (56)â…“. If “m” is the cube root of 56, then, m3=56. Let us find the value of “m”.
 

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Finding the Cubic Root of 56

We can find cube roots of 56 through a method, named as, Halley’s Method. Let us see how it finds the result.
 

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Cubic Root of 56 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 56.


Step 1: Let a=56. Let us take x as 3, since 33=27 is the nearest perfect cube which is less than 56.


Step 2: Apply the formula.  âˆ›56≅ 3((33+2×56) / (2(3)3+56)) = 3.79…


Hence, 3.79… is the approximate cubic root of 56.
 

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Common Mistakes and How to Avoid Them in the Cube Root of 56

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Cube Root of 56 Examples

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Problem 1

Find (∛112/ ∛56) × (∛112/ ∛56) × (∛112/ ∛56)

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Explanation

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Problem 2

If y = ∛56, find y3/ y6

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Explanation

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Problem 3

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Explanation

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Problem 4

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Explanation

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Problem 5

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Explanation

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About BrightChamps in Saudi Arabia

At BrightChamps, we know algebra is more than just digits—it’s the key to many opportunities! We’re dedicated to helping children across Saudi Arabia develop strong math skills, focusing today on the Cube Root of 56 with a special focus on understanding cube roots—in a way that’s lively, fun, and easy to follow. Whether your child is calculating the speed of a roller coaster at Riyadh’s Al Hokair Land, tracking scores at a local football match, or managing their allowance to buy the latest gadgets, mastering algebra gives them confidence for everyday challenges. Our interactive lessons make learning simple and engaging. Since children in Saudi Arabia learn in different ways, we tailor our approach to fit each child’s unique style. From the busy streets of Riyadh to the historic landmarks of Jeddah, BrightChamps brings math to life, making it exciting throughout Saudi Arabia. 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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