Cube Root Of 2000

The cube root of 2000 is the number which, when multiplied three times, we get a number that is equal to 2000. Let’s explore some steps and methods to calculate the cube root of 2000.

The cube root of 2000: ∛2000 = 12.599

The exponential form of the cube root of 2000: 2000^1/3

The radical form of the cube root of 2000: ∛2000
 

To find the cube root of 2000, 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, 2000
x = an approximate number close to the cube root of the number, 2000:  12³ = 1728

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

A = 2000, for the approximate method we choose, x = 12, it is the nearest cube (12³ = 1728). 
Now apply the formula; 

∛a ≅ x((x³+2a) / (2x³+a))

∛2000 ≅ 12((12³+2 × 2000) / (2 × 12³+2000)) = 12.599

Hence, the approximate cube root of 2000 ≅ 12.599
 

• 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: 4^2=4 × 4 = 16

• Irrational number: The number that cannot be expressed in the form of fraction.Example: √2 is an irrational number.