Last updated on May 26th, 2025
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.
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
To find the cube root of 35, we use the following methods:
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
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:
Calculate ∛35×2.
∛35 = 3.271
3.271×2= 6.542
Doubling the cube root of 35, or 3.271, results in approximately 6.542.
Calculate (∛35)².
∛35 = 3.271
3.2712≈10.702
Squaring 3.271 results in approximately 10.702, the square of the cube root of 35.
Find the value of 3×∛35​.
.∛35 = 3.271
3×3.271= 9.813.
Multiplying the cube root of 35 by 3 gives approximately 9.813.
Find the cube of ∛35
∛35 = 3.271
2. (3.271)3=35.
The cube root of 35 raised to the third power results in 35, showing the inverse relationship.
Calculate ∛35+1.
∛35 = 3.271
3.271 + 1 = 4.271
Adding 1 to the cube root of 35 gives approximately 4.271.
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.
: He loves to play the quiz with kids through algebra to make kids love it.