The worth of the cube root of 243 rounded come 6 decimal areas is 6.240251. It is the actual solution that the equation x3 = 243. The cube source of 243 is expressed together ∛243 or 3 ∛9 in the radical form and as (243)⅓ or (243)0.33 in the exponent form. The prime factorization of 243 is 3 × 3 × 3 × 3 × 3, hence, the cube source of 243 in its lowest radical kind is expressed as 3 ∛9.

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

What is the Cube root of 243?


The cube root of 243 is the number which once multiplied by itself 3 times offers the product as 243. Due to the fact that 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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just how to calculation the worth of the Cube root of 243?


Cube source of 243 by Halley"s method

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

below a = 243 Let us assume x together 6 <∵ 63 = 216 and 216 is the nearest perfect cube the is much 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, due to the fact that ∛243 = ∛(3 × 3 × 3 × 3 × 3) = 3 ∛9 and it cannot be to express in the form of p/q whereby q ≠ 0. Therefore, the value of the cube root of 243 is one irrational number.

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Cube root of 243 solved Examples


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

Solution:

The cube root of -243 is equal to the negative of the cube root of 243. ⇒ ∛-243 = -∛243 Therefore, ⇒ ∛243/∛(-243) = ∛243/(-∛243) = -1


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FAQs on Cube root of 243

What is the value of the Cube root of 243?

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

What is the Cube of the Cube source of 243?

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

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

The worth of the cube root of 243 cannot be expressed in the type of p/q whereby q ≠ 0. Therefore, the number ∛243 is irrational.

What is the value of 12 add to 18 Cube root 243?

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

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

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Let us represent ∛0.243 in p/q kind 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 unfavorable of the cube source of 243. Therefore, ∛-243 = -(∛243) = -(6.24) = -6.24.