Last updated on May 26th, 2025
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
While solving ∛108, few mistakes are common in children’s worksheet. To avoid those mistakes, few solutions are given below -
(∛108+∛108)×∛108, simplify.
(∛108+∛108)×∛108
= (4.762+4.762)×4.762
= 9.524×4.762
= 45.37
The simplified value is 45.37.
If x= ∛108, find x²-x.
x = 4.762
x2 = 22.68
x2 −x = 22.68−4.762
= 17.92
x2-x is 17.92.
Multiply ∛108 and ∛216
∛108×∛216
= 4.762×6
= 28.57
multiplying value of cube root of 108 and 216 togather.
Jaskaran Singh Saluja is a math wizard with nearly three years of experience as a math teacher. His expertise is in algebra, so he can make algebra classes interesting by turning tricky equations into simple puzzles.
: He loves to play the quiz with kids through algebra to make kids love it.