The worth of the cube source of 15 rounded come 7 decimal areas is 2.4662121. That is the real solution the the equation x3 = 15. The cube source of 15 is expressed together ∛15 in the radical type and as (15)⅓ or (15)0.33 in the exponent form. The element factorization of 15 is 3 × 5, hence, the cube source of 15 in its lowest radical form is expressed as ∛15.

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Cube root of 15: 2.466212074 Cube root of 15 in Exponential Form: (15)⅓Cube root of 15 in Radical Form: ∛15 1 What is the Cube source of 15? 2 How to calculate the Cube root of 15? 3 Is the Cube source of 15 Irrational? 4 FAQs top top Cube root of 15

## What is the Cube source of 15?

The cube root of 15 is the number which as soon as multiplied by itself 3 times offers the product as 15. Because 15 deserve to be expressed as 3 × 5. Therefore, the cube root of 15 = ∛(3 × 5) = 2.4662.

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## exactly how to calculate the worth of the Cube source of 15?

### Cube source of 15 through 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 that cube root.

here a = 15 Let us assume x as 2 <∵ 23 = 8 and also 8 is the nearest perfect cube that is much less than 15> ⇒ x = 2 Therefore, ∛15 = 2 (23 + 2 × 15)/(2 × 23 + 15)) = 2.45 ⇒ ∛15 ≈ 2.45 Therefore, the cube root of 15 is 2.45 approximately.

## Is the Cube root of 15 Irrational?

Yes, because ∛15 = ∛(3 × 5) and also it cannot be expressed in the form of p/q whereby q ≠ 0. Therefore, the worth of the cube root of 15 is one irrational number.

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## Cube source of 15 fixed Examples

instance 3: What is the value of ∛15 ÷ ∛(-15)?

Solution:

The cube root of -15 is equal to the negative of the cube source of 15. ⇒ ∛-15 = -∛15 Therefore, ⇒ ∛15/∛(-15) = ∛15/(-∛15) = -1

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## FAQs ~ above Cube root of 15

### What is the worth of the Cube source of 15?

We can express 15 together 3 × 5 i.e. ∛15 = ∛(3 × 5) = 2.46621. Therefore, the worth of the cube source of 15 is 2.46621.

### What is the Cube the the Cube source of 15?

The cube that the cube root of 15 is the number 15 itself i.e. (∛15)3 = (151/3)3 = 15.

### Why is the worth of the Cube source of 15 Irrational?

The worth of the cube root of 15 can not be expressed in the form of p/q wherein q ≠ 0. Therefore, the number ∛15 is irrational.

### How to leveling the Cube root of 15/216?

We recognize that the cube source of 15 is 2.46621 and the cube root of 216 is 6. Therefore, ∛(15/216) = (∛15)/(∛216) = 2.466/6 = 0.411.

### What is the worth of 15 add to 11 Cube root 15?

The worth of ∛15 is 2.466. So, 15 + 11 × ∛15 = 15 + 11 × 2.466 = 42.126000000000005. Hence, the value of 15 to add 11 cube source 15 is 42.126000000000005.

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### Is 15 a Perfect Cube?

The number 15 on element factorization provides 3 × 5. Here, the prime element 3 is no in the power of 3. Thus the cube source of 15 is irrational, for this reason 15 is not a perfect cube.