The value of the cube root of 54 rounded come 7 decimal areas is 3.7797631. The is the actual solution the the equation x3 = 54. The cube root of 54 is expressed together ∛54 or 3 ∛2 in the radical type and as (54)⅓ or (54)0.33 in the exponent form. The prime factorization of 54 is 2 × 3 × 3 × 3, hence, the cube root of 54 in its lowest radical kind is expressed as 3 ∛2.

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Cube root of 54: 3.77976315 Cube source of 54 in Exponential Form: (54)⅓Cube root of 54 in Radical Form: ∛54 or 3 ∛2
 1 What is the Cube source of 54? 2 How to calculate the Cube root of 54? 3 Is the Cube root of 54 Irrational? 4 FAQs ~ above Cube source of 54

## What is the Cube source of 54?

The cube root of 54 is the number which when multiplied through itself three times provides the product as 54. Because 54 have the right to be expressed together 2 × 3 × 3 × 3. Therefore, the cube source of 54 = ∛(2 × 3 × 3 × 3) = 3.7798.

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## just how to calculate the worth of the Cube source of 54?

### Cube source of 54 by Halley"s technique

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

here a = 54 Let united state assume x together 3 <∵ 33 = 27 and 27 is the nearest perfect cube the is less than 54> ⇒ x = 3 Therefore, ∛54 = 3 (33 + 2 × 54)/(2 × 33 + 54)) = 3.75 ⇒ ∛54 ≈ 3.75 Therefore, the cube root of 54 is 3.75 approximately.

## Is the Cube root of 54 Irrational?

Yes, due to the fact that ∛54 = ∛(2 × 3 × 3 × 3) = 3 ∛2 and it cannot be expressed in the kind of p/q whereby q ≠ 0. Therefore, the value of the cube source of 54 is one irrational number.

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## Cube source of 54 solved Examples

instance 1: What is the value of ∛54 + ∛(-54)?

Solution:

The cube source of -54 is same to the negative of the cube source of 54. I.e. ∛-54 = -∛54 Therefore, ∛54 + ∛(-54) = ∛54 - ∛54 = 0

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## FAQs on Cube source of 54

### What is the worth of the Cube source of 54?

We can express 54 together 2 × 3 × 3 × 3 i.e. ∛54 = ∛(2 × 3 × 3 × 3) = 3.77976. Therefore, the worth of the cube source of 54 is 3.77976.

### What is the Cube that the Cube source of 54?

The cube of the cube root of 54 is the number 54 chin i.e. (∛54)3 = (541/3)3 = 54.

### Why is the worth of the Cube root of 54 Irrational?

The value of the cube source of 54 cannot be express in the form of p/q whereby q ≠ 0. Therefore, the number ∛54 is irrational.

### What is the value of 5 to add 4 Cube root 54?

The worth of ∛54 is 3.78. So, 5 + 4 × ∛54 = 5 + 4 × 3.78 = 20.119999999999997. Hence, the value of 5 plus 4 cube root 54 is 20.119999999999997.

### Is 54 a Perfect Cube?

The number 54 on element factorization provides 2 × 3 × 3 × 3. Here, the prime element 2 is no in the power of 3. Because of this the cube root of 54 is irrational, hence 54 is not a perfect cube.

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### What is the Cube source of -54?

The cube root of -54 is equal to the negative of the cube root of 54. Therefore, ∛-54 = -(∛54) = -(3.78) = -3.78.