Cube Root Of 1080

The cube root of 1080 is the number which, when multiplied three times, we get a number that is equal to 1080. Let’s explore some steps and methods to calculate the cube root of 1080.

The cube root of 1080: ∛1080 = 10.259

The exponential form of the cube root of 1080: 1080^1/3

The radical form of the cube root of 1080: ∛1080
 

To find the cube root of 1080, 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, 1080
x = an approximate number close to the cube root of the number, 1080:  10³= 1000

Let’s apply the formula and find the Cube Root:

A = 1080, for the approximate method we choose, x = 10, it is the nearest cube (10³= 1000). 

Now apply the formula; 

∛a≅ x((x³+2a) / (2x³+a))

∛1080≅ 10((10³+2 × 1080) / (2 × 10³+1080)) = 10.259

Hence, the approximate cube of 1080 ≅ 10.259
 

• 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.