124 LearnersLast updated on May 26th, 2025
Cube Root of 26244
A number we multiply by itself three times to get the original number is its cube root. It has various uses in real life, such as finding the volume of cube-shaped objects and designing structures. We will now find the cube root of 26244 and explain the methods used.
What is the Cube Root of 26244?
We have learned the definition of the cube root. Now, let’s learn how it is represented using a symbol and exponent. The symbol we use to express the cube root is the radical sign (∛), and the exponent we use is ⅓.
In exponential form, ∛26244 is written as 26244(1/3). The cube root is just the opposite operation of finding the cube of a number. For example: Assume ‘y’ as the cube root of 26244, then y3 can be 26244. Since the cube root of 26244 is an exact value, we can write it as 29.
Finding the Cube Root of 26244
Finding the cube root of a number is to identify the number that must be multiplied three times resulting in the target number. Now, we will go through the different ways to find the cube root of 26244. The common methods we follow to find the cube root are given below:
- Prime factorization method
- Approximation method
- Subtraction method
- Halley’s method
To find the cube root of a perfect cube number like 26244, we can use the prime factorization method.
Cube Root of 26244 by Prime Factorization
Let's find the cube root of 26244 using the prime factorization method.
First, we need to express 26244 as a product of its prime factors:
26244 = 22 × 32 × 293.
Since the exponent of 29 is 3, we can take 29 out of the cube root.
∛26244 = 29.
The cube root of 26244 is 29.
Common Mistakes and How to Avoid Them in the Cube Root of 26244
Finding the perfect cube of a number without any errors can be a difficult task for students. This happens for many reasons. Here are a few mistakes the students commonly make and the ways to avoid them:
Mistake 1
Trying to find approximate cube roots for perfect cube numbers.
Children sometimes try to calculate an approximate decimal value for the cube root of numbers like 26244, which are perfect cubes.
For example: They assume that they would need to approximate the cube root of 26244 like they do for non-perfect cubes. To avoid this error, memorize that some numbers like 26244 are perfect cubes, so their cube roots are exact whole numbers.
Mistake 2
Ignoring the exponent form
Most of us might forget the fact that cube root can also be written in exponent form.
For example: Forgetting that the cube root of 26244 is 26244(1/3). To avoid this error, always learn the forms in which we can express the cube root of a number.
Mistake 3
Confusing cube root with division
Assuming the cube root of 26244 is to divide 26244 by 3. To avoid this, children should remember that the cube root of 26244 is the number they multiply by itself three times to get 26244.
Mistake 4
Using Halley’s method instead of prime factorization
Instead of using prime factorization for perfect cubes, children might use Halley’s method.
For example, they might try to approximate the cube root of 26244 unnecessarily. Remember that prime factorization is the best method for perfect cubes like 26244.
Mistake 5
Rounding too early
Rounding the cube root too early in the process can lead to errors in the subsequent steps when dealing with approximations. However, for perfect cubes like 26244, this is not necessary. Ensure calculations are done accurately without premature rounding.
Cube Root of 26244 Examples:
Problem 1
Imagine you have a cube-shaped toy that has a total volume of 26244 cubic centimeters. Find the length of one side of the cube equal to its cube root.
Side of the cube = ∛26244 = 29 units
Explanation
To find the side of the cube, we need to find the cube root of the given volume.
Therefore, the side length of the cube is exactly 29 units.
Problem 2
A company manufactures 26244 cubic meters of material. Calculate the amount of material left after using 12444 cubic meters.
The amount of material left is 13800 cubic meters.
Explanation
To find the remaining material, we need to subtract the used material from the total amount:
26244 - 12444 = 13800 cubic meters.
Problem 3
A bottle holds 26244 cubic meters of volume. Another bottle holds a volume of 8000 cubic meters. What would be the total volume if the bottles are combined?
The total volume of the combined bottles is 34244 cubic meters.
Explanation
Let’s add the volume of both bottles:
26244 + 8000 = 34244 cubic meters.
Problem 4
When the cube root of 26244 is multiplied by 2, calculate the resultant value. How will this affect the cube of the new value?
2 × 29 = 58
The cube of 58 = 195112
Explanation
When we multiply the cube root of 26244 by 2, it results in a new value.
Cubing this new value increases the volume significantly because the cube increases exponentially.
Problem 5
Find ∛(46244 + 46244).
∛(46244 + 46244) = ∛92488 ≈ 45.2
Explanation
As shown in the question ∛(46244 + 46244), we can simplify that by adding them.
So, 46244 + 46244 = 92488.
Then we use this step: ∛92488 ≈ 45.2 to get the answer.
FAQs on 26244 Cube Root
1.Can we find the Cube Root of 26244?
2.Why is Cube Root of 26244 rational?
3.Is it possible to get the cube root of 26244 as an exact number?
4.Can we find the cube root of any number using prime factorization?
5.Is there any formula to find the cube root of a number?
6.How does learning Algebra help students in United Kingdom make better decisions in daily life?
7.How can cultural or local activities in United Kingdom support learning Algebra topics such as Cube Root of 26244?
8.How do technology and digital tools in United Kingdom support learning Algebra and Cube Root of 26244?
9.Does learning Algebra support future career opportunities for students in United Kingdom?
Important Glossaries for Cube Root of 26244
- Cube root: The number that is multiplied three times by itself to get the given number is the cube root of that number.
- Perfect cube: A number is a perfect cube when it is the product of multiplying a number three times by itself. A perfect cube always results in a whole number. For example: 29 × 29 × 29 = 24389, therefore, 24389 is a perfect cube.
- Exponent: The exponent form of the number denotes the number of times a number can be multiplied by itself. In 26244(1/3), ⅓ is the exponent which denotes the cube root of 26244.
- Radical sign: The symbol that is used to represent a root which is expressed as (∛).
- Rational number: A number that can be expressed as the quotient or fraction of two integers. The cube root of 26244 is rational because it is a whole number.
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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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