171 LearnersLast updated on May 26th, 2025
Cube Root Of 35
A cube root of a number is a value, when it is multiplied by itself three times, gives the original number. Imagine you have a cube (box) with the known volume. The cube root helps us determine the length of one side of the box.
What Is The Cube Root Of 35?
The cube root of 35 is the number which, when multiplied three times, we get a number that is equal to 35. Let’s explore some steps and methods to calculate the cube root of 35.
The cube root of 35: ∛35 = 3.271
The exponential form of the cube root of 35: 351/3
The radical form of the cube root of 35: ∛35
Finding The Cube Root Of 35
To find the cube root of 35, we use the following methods:
- Prime factorization
- Approximation method
- Long division
- Subtraction method
- Halley’s method is used for those numbers which are not perfect cubes.
Cube Root Of 35 By Halley’s Method
We use the below formula to find the cube root using Halley’s Method;
∛a ≅ x ((x3 + 2a) / (2x3 + a))
In the formula;
a = given number, 35
x = an approximate number close to the cube root of the number, 35: 33= 27
Let’s apply the formula and find the Cube Root:
A = 35, for the approximate method we choose, x = 3, it is the nearest cube (33= 27).
Now apply the formula;
∛a ≅ x ((x3 + 2a) / (2x3 + a))
∛35 ≅ 3((33+2 × 35) / (2 × 33+35)) = 3.271
Hence, the approximate cube of 35 ≅ 3.271
Common Mistakes and How to Avoid Them in Finding the Cube Root of 35
While learning about cube roots, children making mistakes is common, so to avoid a few mistakes that are likely to happen, below are a few mistakes and how to avoid these:
Mistake 1
Getting confused with the cube root and square root
Students sometimes multiply the same number twice instead of thrice, which makes it a square root and not a cube root. Because of this, improper results are to be found. To avoid these, students should practice square roots and cube roots regularly.
Cube Root of 35 Examples
Problem 1
Calculate ∛35×2.
∛35 = 3.271
3.271×2= 6.542
Explanation
Doubling the cube root of 35, or 3.271, results in approximately 6.542.
Problem 2
Calculate (∛35)².
∛35 = 3.271
3.2712≈10.702
Explanation
Squaring 3.271 results in approximately 10.702, the square of the cube root of 35.
Problem 3
Find the value of 3×∛35​.
.∛35 = 3.271
3×3.271= 9.813.
Explanation
Multiplying the cube root of 35 by 3 gives approximately 9.813.
Problem 4
Find the cube of ∛35
∛35 = 3.271
2. (3.271)3=35.
Explanation
The cube root of 35 raised to the third power results in 35, showing the inverse relationship.
Problem 5
Calculate ∛35+1.
∛35 = 3.271
3.271 + 1 = 4.271
Explanation
Adding 1 to the cube root of 35 gives approximately 4.271.
FAQs For Cube Root Of 35
1.What is the approximate value of the cube root of 35?
2.Is the cube root of 35 a rational number?
3.Is the cube root of 35 a real number?
4.What is the difference between the square root and cube root of 35?
5.How does learning Algebra help students in India make better decisions in daily life?
6.How can cultural or local activities in India support learning Algebra topics such as Cube Root Of 35?
7.How do technology and digital tools in India support learning Algebra and Cube Root Of 35?
8.Does learning Algebra support future career opportunities for students in India?
Important Glossaries for Cube Root of 35
- Whole numbers — The whole numbers are the set of numbers that consists of natural numbers and zero. Example: 0, 1, 2, 3………..
- Square root —A number’s square root is considered a number that when it is multiplied by itself results in the same number.Example: √4 is 2.
- Exponent: It is a number which represents how many times a base number should be multiplied. Example: 42=4 x 4 = 16
- Irrational number: The number that cannot be expressed in the form of fraction. Example: √2 is an irrational number.
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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.
Fun Fact
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