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
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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.