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Last updated on January 6th, 2025
A cube root of a number is a value, when it is multiplied three times by itself, 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 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: 20001/3
The radical form of the cube root of 2000: ∛2000
To find the cube root of 2000, 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, 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