111 LearnersLast updated on May 26th, 2025
Cube Root of 753571
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 753571 and explain the methods used.
What is the Cube Root of 753571?
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, ∛753571 is written as 753571(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 753571, then y3 can be 753571. The cube root of 753571 is an exact value since 753571 is a perfect cube, and we can write it as 91.
Finding the Cube Root of 753571
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 753571. 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 number, we often follow the prime factorization method. Since 753571 is a perfect cube, we can use this method.
Cube Root of 753571 by Prime Factorization
Let's find the cube root of 753571 using the prime factorization method.
First, we find the prime factors of 753571.
Breaking it down: 753571 = 91 × 91 × 91.
This shows that 91 is multiplied by itself three times to get 753571.
Therefore, the cube root of 753571 is 91.
Common Mistakes and How to Avoid Them in the Cube Root of 753571
Finding the perfect cube of a number without any errors can be a difficult task for the 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 non-existent cube roots for perfect cube numbers.
Children might mistakenly assume a number like 753571 is not a perfect cube and look for approximations. To avoid this error, memorize that some numbers have exact cube roots, and the cube root of 753571 is exactly 91.
Cube Root of 753571 Examples:
Problem 1
Imagine you have a cube-shaped toy that has a total volume of 753571 cubic centimeters. Find the length of one side of the cube equal to its cube root.
Side of the cube = ∛753571 = 91 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 91 units.
Problem 2
A company manufactures 753571 cubic meters of material. Calculate the amount of material left after using 500000 cubic meters.
The amount of material left is 253571 cubic meters.
Explanation
To find the remaining material, we need to subtract the used material from the total amount:
753571 - 500000 = 253571 cubic meters.
Problem 3
A bottle holds 753571 cubic meters of volume. Another bottle holds a volume of 10000 cubic meters. What would be the total volume if the bottles are combined?
The total volume of the combined bottles is 763571 cubic meters.
Explanation
Let’s add the volume of both bottles:
753571 + 10000 = 763571 cubic meters.
Problem 4
When the cube root of 753571 is multiplied by 2, calculate the resultant value. How will this affect the cube of the new value?
2 × 91 = 182 The cube of 182 = 6028568
Explanation
When we multiply the cube root of 753571 by 2, it results in a significant increase in the volume because the cube increases exponentially.
Problem 5
Find ∛(91000 + 91000).
∛(91000 + 91000) = ∛182000 ≈ 56.24
Explanation
As shown in the question ∛(91000 + 91000), we can simplify that by adding them.
So, 91000 + 91000 = 182000.
Then we use this step: ∛182000 ≈ 56.24 to get the answer.
FAQs on 753571 Cube Root
1.Can we find the Cube Root of 753571?
2.Why is Cube Root of 753571 rational?
3.Is it possible to get the cube root of 753571 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 753571?
8.How do technology and digital tools in United Kingdom support learning Algebra and Cube Root of 753571?
9.Does learning Algebra support future career opportunities for students in United Kingdom?
Important Glossaries for Cube Root of 753571
- 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: 91 × 91 × 91 = 753571, therefore, 753571 is a perfect cube.
- Exponent: The exponent form of the number denotes the number of times a number can be multiplied by itself. In a(1/3), ⅓ is the exponent which denotes the cube root of 'a'.
- Radical sign: The symbol that is used to represent a root which is expressed as (∛).
- Rational number: Numbers that can be expressed as a fraction of two integers, such as the cube root of 753571, which is a whole number 91.
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Jaskaran Singh Saluja
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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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