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Last updated on January 10th, 2025
The cube root of 100 is the value that, when multiplied by itself three times (cubed), gives the original number 100. Do you know? Cube roots apply to our real life also, like that for measuring dimensions, creating digital art, field of engineering, making financial decisions etc.
The cube root of 100 is 4.64158883361. The cube root of 100 is expressed as β100 in radical form, where the β β β sign is called the βradicalβ sign. In exponential form, it is written as (100)β . If βmβ is the cube root of 100, then, m3=100. Let us find the value of βmβ.
The cube root of 100 is expressed as β100 as its simplest radical form,
since 100 = 2Γ2Γ5Γ5
β100 = β(2Γ2Γ5Γ5)
Group together three same factors at a time and put the remaining factor under the β .
β100= β100
We can find cube root of 100 through a method, named as, Halleyβs Method. Let us see how it finds the result.
Now, what is Halleyβs Method? It is an iterative method for finding cube roots of a given number N, such that, x3=N,
where this method approximates the value of βxβ.
Formula is βaβ
x((x3+2a) / (2x3+a)), where
a=given number whose cube root you are going to find
x=integer guess for the cubic root
Let us apply Halleyβs method on the given number 100.
Step 1: Let a=100. Let us take x as 4, since, 43=64 is the nearest perfect cube which is less than 100.
Step 2: Apply the formula. β100β
4((43+2Γ100) / (2(4)3+100))= 4.63β¦
Hence, 4.63β¦ is the approximate cubic root of 100.
Find (β200/ β100) Γ (β200/ β100) Γ (β200/ β100)
If y = β100, find yΒ³/ yβΆ
Multiply β100 Γ β125
What is β(100βΆ) ?
Find β(100+(-36)).
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.
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