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: 35^1/3

The radical form of the cube root of 35: ∛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.
   

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

• 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.