The worth of the cube source of 16 rounded come 5 decimal locations is 2.51984. The is the real solution the the equation x3 = 16. The cube source of 16 is expressed together ∛16 or 2 ∛2 in the radical type and as (16)⅓ or (16)0.33 in the exponent form. The prime factorization that 16 is 2 × 2 × 2 × 2, hence, the cube source of 16 in its shortest radical kind is expressed as 2 ∛2.

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Cube source of 16: 2.5198421 Cube root of 16 in Exponential Form: (16)⅓Cube root of 16 in Radical Form: ∛16 or 2 ∛2
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1.What is the Cube source of 16?
2.How to calculate the Cube source of 16?
3.Is the Cube root of 16 Irrational?
4.FAQs on Cube root of 16

What is the Cube source of 16?


The cube root of 16 is the number which once multiplied by itself three times offers the product together 16. Because 16 deserve to be expressed as 2 × 2 × 2 × 2. Therefore, the cube source of 16 = ∛(2 × 2 × 2 × 2) = 2.5198.

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how to calculate the worth of the Cube source of 16?


Cube root of 16 by Halley"s method

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

here a = 16 Let united state assume x together 2 <∵ 23 = 8 and also 8 is the nearest perfect cube that is much less than 16> ⇒ x = 2 Therefore, ∛16 = 2 (23 + 2 × 16)/(2 × 23 + 16)) = 2.5 ⇒ ∛16 ≈ 2.5 Therefore, the cube source of 16 is 2.5 approximately.


Is the Cube root of 16 Irrational?


Yes, due to the fact that ∛16 = ∛(2 × 2 × 2 × 2) = 2 ∛2 and it can not be to express in the form of p/q where q ≠ 0. Therefore, the value of the cube root of 16 is one irrational number.

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Cube source of 16 resolved Examples


instance 1: What is the worth of ∛16 ÷ ∛(-16)?

Solution:

The cube source of -16 is same to the an adverse of the cube root of 16. ⇒ ∛-16 = -∛16 Therefore, ⇒ ∛16/∛(-16) = ∛16/(-∛16) = -1


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FAQs ~ above Cube root of 16

What is the value of the Cube source of 16?

We deserve to express 16 as 2 × 2 × 2 × 2 i.e. ∛16 = ∛(2 × 2 × 2 × 2) = 2.51984. Therefore, the value of the cube root of 16 is 2.51984.

Why is the worth of the Cube root of 16 Irrational?

The value of the cube source of 16 cannot be to express in the type of p/q where q ≠ 0. Therefore, the number ∛16 is irrational.

What is the Cube that the Cube root of 16?

The cube the the cube root of 16 is the number 16 chin i.e. (∛16)3 = (161/3)3 = 16.

How to simplify the Cube root of 16/512?

We understand that the cube source of 16 is 2.51984 and the cube source of 512 is 8. Therefore, ∛(16/512) = (∛16)/(∛512) = 2.52/8 = 0.315.

If the Cube root of 16 is 2.52, find the value of ∛0.016.

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Let us represent ∛0.016 in p/q type i.e. ∛(16/1000) = 2.52/10 = 0.25. Hence, the value of ∛0.016 = 0.25.

What is the Cube root of -16?

The cube source of -16 is equal to the negative of the cube source of 16. Therefore, ∛-16 = -(∛16) = -(2.52) = -2.52.