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Last updated on November 30th, 2024
Having an understanding of the concept of cube root is essential in the fields of engineering, construction and science. Cube roots are also used to measure volumes in three-dimensional spaces on a daily basis. Let us now learn about the cube root of 108.
∛108 = 4.762203.
We can arrive at the cube root of a given number using;
Halley’s method is a proven effective method for finding the cube root of a number. We use the below formula;
∛a≅ x((x3+2a) / (2x3+a))
In the formula;
a = given number, 108
x = integer guess for the cube root, i.e., a number close to the cube root of 108
Steps to find the cube root:
a = 108, for approximation choose, x = 4, it is the nearest cube (43=64).
Now apply the formula;
∛a≅ x((x3+2a) / (2x3+a))
∛108≅ 4((43+2.108) / (2.43+108)) = 4.76
The approximate cube of 108 = 4.76