The value of the cube root of 243 rounded to 6 decimal places is 6.240251. The is the genuine solution of the equation x3 = 243. The cube root of 243 is expressed together ∛243 or 3 ∛9 in the radical form and together (243)⅓ or (243)0.33 in the exponent form. The prime factorization that 243 is 3 × 3 × 3 × 3 × 3, hence, the cube source of 243 in its shortest radical form is expressed together 3 ∛9.

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Cube root of 243: 6.240251469 Cube root of 243 in Exponential Form: (243)⅓Cube source of 243 in Radical Form: ∛243 or 3 ∛9
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1.What is the Cube source of 243?
2.How to calculate the Cube source of 243?
3.Is the Cube root of 243 Irrational?
4.FAQs top top Cube root of 243

What is the Cube root of 243?


The cube root of 243 is the number which as soon as multiplied by itself three times offers the product as 243. Because 243 have the right to be expressed together 3 × 3 × 3 × 3 × 3. Therefore, the cube root of 243 = ∛(3 × 3 × 3 × 3 × 3) = 6.2403.

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how to calculate the worth of the Cube source of 243?


Cube source of 243 by Halley"s an approach

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

here a = 243 Let united state assume x together 6 <∵ 63 = 216 and 216 is the nearest perfect cube that is less than 243> ⇒ x = 6 Therefore, ∛243 = 6 (63 + 2 × 243)/(2 × 63 + 243)) = 6.24 ⇒ ∛243 ≈ 6.24 Therefore, the cube root of 243 is 6.24 approximately.


Is the Cube source of 243 Irrational?


Yes, because ∛243 = ∛(3 × 3 × 3 × 3 × 3) = 3 ∛9 and also it cannot be express in the kind of p/q wherein q ≠ 0. Therefore, the value of the cube source of 243 is one irrational number.

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Cube root of 243 solved Examples


example 3: What is the worth of ∛243 ÷ ∛(-243)?

Solution:

The cube source of -243 is same to the an unfavorable of the cube root of 243. ⇒ ∛-243 = -∛243 Therefore, ⇒ ∛243/∛(-243) = ∛243/(-∛243) = -1


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FAQs ~ above Cube source of 243

What is the value of the Cube source of 243?

We deserve to express 243 together 3 × 3 × 3 × 3 × 3 i.e. ∛243 = ∛(3 × 3 × 3 × 3 × 3) = 6.24025. Therefore, the value of the cube source of 243 is 6.24025.

What is the Cube of the Cube root of 243?

The cube that the cube root of 243 is the number 243 chin i.e. (∛243)3 = (2431/3)3 = 243.

Why is the value of the Cube root of 243 Irrational?

The value of the cube root of 243 can not be expressed in the kind of p/q whereby q ≠ 0. Therefore, the number ∛243 is irrational.

What is the worth of 12 plus 18 Cube source 243?

The worth of ∛243 is 6.24. So, 12 + 18 × ∛243 = 12 + 18 × 6.24 = 124.32000000000001. Hence, the value of 12 plus 18 cube source 243 is 124.32000000000001.

If the Cube root of 243 is 6.24, uncover the value of ∛0.243.

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Let us represent ∛0.243 in p/q type i.e. ∛(243/1000) = 6.24/10 = 0.62. Hence, the worth of ∛0.243 = 0.62.

What is the Cube root of -243?

The cube root of -243 is same to the an adverse of the cube source of 243. Therefore, ∛-243 = -(∛243) = -(6.24) = -6.24.