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Cube Root of 44

The value of the cube root of 44 rounded to 4 decimal places is 3.5303. It is the real solution of the equation x³ = 44. The cube root of 44 is expressed as ∛44 in the radical form and as (44)^⅓ or (44)^0.33 in the exponent form. The prime factorization of 44 is 2 × 2 × 11, hence, the cube root of 44 in its lowest radical form is expressed as ∛44.

Cube root of 44: 3.530348335
Cube root of 44 in Exponential Form: (44)^⅓
Cube root of 44 in Radical Form: ∛44

Cube Root of 44

1.	What is the Cube Root of 44?
2.	How to Calculate the Cube Root of 44?
3.	Is the Cube Root of 44 Irrational?
4.	FAQs on Cube Root of 44

What is the Cube Root of 44?

The cube root of 44 is the number which when multiplied by itself three times gives the product as 44. Since 44 can be expressed as 2 × 2 × 11. Therefore, the cube root of 44 = ∛(2 × 2 × 11) = 3.5303.

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How to Calculate the Value of the Cube Root of 44?

Cube Root of 44 by Halley's Method

Its formula is ∛a ≈ x ((x³ + 2a)/(2x³ + a))
where,
a = number whose cube root is being calculated
x = integer guess of its cube root.

Here a = 44
Let us assume x as 3
[∵ 3³ = 27 and 27 is the nearest perfect cube that is less than 44]
⇒ x = 3
Therefore,
∛44 = 3 (3³ + 2 × 44)/(2 × 3³ + 44)) = 3.52
⇒ ∛44 ≈ 3.52
Therefore, the cube root of 44 is 3.52 approximately.

Is the Cube Root of 44 Irrational?

Yes, because ∛44 = ∛(2 × 2 × 11) and it cannot be expressed in the form of p/q where q ≠ 0. Therefore, the value of the cube root of 44 is an irrational number.

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Cube Root of 44 Solved Examples

Example 1: Find the real root of the equation x³ − 44 = 0.

Solution:

x³ − 44 = 0 i.e. x³ = 44
Solving for x gives us,
x = ∛44, x = ∛44 × (-1 + √3i))/2 and x = ∛44 × (-1 - √3i))/2
where i is called the imaginary unit and is equal to √-1.
Ignoring imaginary roots,
x = ∛44
Therefore, the real root of the equation x³ − 44 = 0 is for x = ∛44 = 3.5303.
Example 2: What is the value of ∛44 + ∛(-44)?

Solution:

The cube root of -44 is equal to the negative of the cube root of 44.
i.e. ∛-44 = -∛44

Therefore, ∛44 + ∛(-44) = ∛44 - ∛44 = 0
Example 3: The volume of a spherical ball is 44π in³. What is the radius of this ball?

Solution:

Volume of the spherical ball = 44π in³
= 4/3 × π × R³
⇒ R³ = 3/4 × 44
⇒ R = ∛(3/4 × 44) = ∛(3/4) × ∛44 = 0.90856 × 3.53035 (∵ ∛(3/4) = 0.90856 and ∛44 = 3.53035)
⇒ R = 3.20753 in³

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FAQs on Cube Root of 44

What is the Value of the Cube Root of 44?

We can express 44 as 2 × 2 × 11 i.e. ∛44 = ∛(2 × 2 × 11) = 3.53035. Therefore, the value of the cube root of 44 is 3.53035.

What is the Value of 16 Plus 4 Cube Root 44?

The value of ∛44 is 3.53. So, 16 + 4 × ∛44 = 16 + 4 × 3.53 = 30.119999999999997. Hence, the value of 16 plus 4 cube root 44 is 30.119999999999997.

If the Cube Root of 44 is 3.53, Find the Value of ∛0.044.

Let us represent ∛0.044 in p/q form i.e. ∛(44/1000) = 3.53/10 = 0.35. Hence, the value of ∛0.044 = 0.35.

Is 44 a Perfect Cube?

The number 44 on prime factorization gives 2 × 2 × 11. Here, the prime factor 2 is not in the power of 3. Therefore the cube root of 44 is irrational, hence 44 is not a perfect cube.

What is the Cube Root of -44?

The cube root of -44 is equal to the negative of the cube root of 44. Therefore, ∛-44 = -(∛44) = -(3.53) = -3.53.

Why is the Value of the Cube Root of 44 Irrational?

The value of the cube root of 44 cannot be expressed in the form of p/q where q ≠ 0. Therefore, the number ∛44 is irrational.

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