The worth of the cube source of 108 rounded to 6 decimal locations is 4.762203. The is the actual solution the the equation x3 = 108. The cube root of 108 is expressed as ∛108 or 3 ∛4 in the radical kind and as (108)⅓ or (108)0.33 in the exponent form. The prime factorization the 108 is 2 × 2 × 3 × 3 × 3, hence, the cube root of 108 in its shortest radical type is expressed together 3 ∛4.

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Cube root of 108: 4.762203156 Cube source of 108 in Exponential Form: (108)⅓Cube root of 108 in Radical Form: ∛108 or 3 ∛4 1 What is the Cube source of 108? 2 How to calculate the Cube root of 108? 3 Is the Cube root of 108 Irrational? 4 FAQs top top Cube root of 108

## What is the Cube source of 108?

The cube source of 108 is the number which when multiplied by itself 3 times gives the product together 108. Due to the fact that 108 can be expressed together 2 × 2 × 3 × 3 × 3. Therefore, the cube source of 108 = ∛(2 × 2 × 3 × 3 × 3) = 4.7622.

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## exactly how to calculate the value of the Cube root of 108?

### Cube source of 108 through Halley"s an approach

that formula is ∛a ≈ x ((x3 + 2a)/(2x3 + a)) where, a = number who cube root is gift calculated x = integer guess: v of that is cube root.

right here a = 108 Let united state assume x as 4 <∵ 43 = 64 and also 64 is the nearest perfect cube that is much less than 108> ⇒ x = 4 Therefore, ∛108 = 4 (43 + 2 × 108)/(2 × 43 + 108)) = 4.75 ⇒ ∛108 ≈ 4.75 Therefore, the cube source of 108 is 4.75 approximately.

## Is the Cube source of 108 Irrational?

Yes, because ∛108 = ∛(2 × 2 × 3 × 3 × 3) = 3 ∛4 and it can not be expressed in the kind of p/q whereby q ≠ 0. Therefore, the value of the cube source of 108 is one irrational number.

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## Cube root of 108 solved Examples

example 1: What is the worth of ∛108 ÷ ∛(-108)?

Solution:

The cube root of -108 is equal to the an unfavorable of the cube source of 108. ⇒ ∛-108 = -∛108 Therefore, ⇒ ∛108/∛(-108) = ∛108/(-∛108) = -1

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## FAQs on Cube source of 108

### What is the value of the Cube source of 108?

We have the right to express 108 together 2 × 2 × 3 × 3 × 3 i.e. ∛108 = ∛(2 × 2 × 3 × 3 × 3) = 4.7622. Therefore, the worth of the cube root of 108 is 4.7622.

### Is 108 a Perfect Cube?

The number 108 on prime factorization gives 2 × 2 × 3 × 3 × 3. Here, the prime element 2 is not in the strength of 3. Thus the cube root of 108 is irrational, for this reason 108 is no a perfect cube.

### If the Cube source of 108 is 4.76, find the worth of ∛0.108.

Let us stand for ∛0.108 in p/q kind i.e. ∛(108/1000) = 4.76/10 = 0.48. Hence, the worth of ∛0.108 = 0.48.

### What is the Cube source of -108?

The cube source of -108 is equal to the an adverse of the cube source of 108. Therefore, ∛-108 = -(∛108) = -(4.762) = -4.762.

### How to simplify the Cube source of 108/729?

We understand that the cube source of 108 is 4.7622 and also the cube root of 729 is 9. Therefore, ∛(108/729) = (∛108)/(∛729) = 4.762/9 = 0.5291.

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### What is the Cube the the Cube root of 108?

The cube of the cube root of 108 is the number 108 chin i.e. (∛108)3 = (1081/3)3 = 108.