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Last updated on November 30th, 2024
The cube root of 36 is the value that, when multiplied by itself three times (cubed), gives the original number 36. Do you know? Cube roots apply to our real life also, like that for measuring dimensions, density and mass, field of engineering etc.
The cube root of 36 is 3.30192724889. The cube root of 36 is expressed as β36 in radical form, where the β β β sign is called the βradicalβ sign. In exponential form, it is written as (36)β
. If βmβ is the cube root of 36, then, m3=36. Let us find the value of βmβ.
The cube root of 36 is expressed as β36 as its simplest radical form,
since 36 = 2Γ2Γ3Γ3
β36 = β(2Γ2Γ3Γ3)
Group together three same factors at a time and put the remaining factor under the β .
β36= β36
We can find cube root of 36 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 36.
Step 1: Let a=36. Let us take x as 3, since, 33=27 is the nearest perfect cube which is less than 36.
Step 2: Apply the formula. β36β
3((33+2Γ36) / (2(3)3+36))= 3.3
Hence, 3.3 is the approximate cubic root of 36.
Find (β32/ β36) Γ (β33/ β36) Γ (β34/ β36)
The length, breadth and height of a cuboid is 4 unit, 3 unit, and 3.5cm respectively. Find its volume, also find the measure of a side of a cube whose volume is 36 cubic units.
Multiply β36 Γ β125
What is β(36^6Γ1/6) ?
Find β(36-(-28)).
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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