The value of the cube source of 48 rounded come 5 decimal areas is 3.63424. It is the genuine solution of the equation x3 = 48. The cube source of 48 is expressed together ∛48 or 2 ∛6 in the radical kind and as (48)⅓ or (48)0.33 in the exponent form. The prime factorization that 48 is 2 × 2 × 2 × 2 × 3, hence, the cube root of 48 in its lowest radical form is expressed as 2 ∛6.

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Cube source of 48: 3.634241186 Cube root of 48 in Exponential Form: (48)⅓Cube source of 48 in Radical Form: ∛48 or 2 ∛6 1 What is the Cube root of 48? 2 How to calculation the Cube source of 48? 3 Is the Cube source of 48 Irrational? 4 FAQs on Cube root of 48

## What is the Cube source of 48?

The cube root of 48 is the number which when multiplied by itself three times gives the product together 48. Due to the fact that 48 have the right to be expressed together 2 × 2 × 2 × 2 × 3. Therefore, the cube root of 48 = ∛(2 × 2 × 2 × 2 × 3) = 3.6342.

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## exactly how to calculate the value of the Cube source of 48?

### Cube root of 48 by Halley"s technique

its formula is ∛a ≈ x ((x3 + 2a)/(2x3 + a)) where, a = number who cube root is being calculated x = integer assumption: v of the cube root.

right here a = 48 Let united state assume x as 3 <∵ 33 = 27 and also 27 is the nearest perfect cube the is much less than 48> ⇒ x = 3 Therefore, ∛48 = 3 (33 + 2 × 48)/(2 × 33 + 48)) = 3.62 ⇒ ∛48 ≈ 3.62 Therefore, the cube root of 48 is 3.62 approximately.

## Is the Cube root of 48 Irrational?

Yes, due to the fact that ∛48 = ∛(2 × 2 × 2 × 2 × 3) = 2 ∛6 and it can not be expressed in the type of p/q where q ≠ 0. Therefore, the worth of the cube root of 48 is an irrational number.

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## Cube root of 48 addressed Examples

instance 2: What is the worth of ∛48 ÷ ∛(-48)?

Solution:

The cube source of -48 is same to the an unfavorable of the cube root of 48. ⇒ ∛-48 = -∛48 Therefore, ⇒ ∛48/∛(-48) = ∛48/(-∛48) = -1

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## FAQs top top Cube source of 48

### What is the value of the Cube source of 48?

We deserve to express 48 as 2 × 2 × 2 × 2 × 3 i.e. ∛48 = ∛(2 × 2 × 2 × 2 × 3) = 3.63424. Therefore, the value of the cube source of 48 is 3.63424.

### If the Cube root of 48 is 3.63, discover the value of ∛0.048.

Let us represent ∛0.048 in p/q kind i.e. ∛(48/1000) = 3.63/10 = 0.36. Hence, the worth of ∛0.048 = 0.36.

### What is the Cube the the Cube root of 48?

The cube of the cube root of 48 is the number 48 itself i.e. (∛48)3 = (481/3)3 = 48.

### How to leveling the Cube root of 48/8?

We recognize that the cube root of 48 is 3.63424 and the cube root of 8 is 2. Therefore, ∛(48/8) = (∛48)/(∛8) = 3.634/2 = 1.817.

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### Is 48 a Perfect Cube?

The number 48 on prime factorization offers 2 × 2 × 2 × 2 × 3. Here, the prime factor 2 is no in the strength of 3. Because of this the cube root of 48 is irrational, for this reason 48 is not a perfect cube.