The worth of the cube source of 216 is 6. It is the genuine solution that the equation x3 = 216. The cube source of 216 is expressed as ∛216 in radical kind and together (216)⅓ or (216)0.33 in the exponent form. As the cube root of 216 is a totality number, 216 is a perfect cube.

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Cube root of 216: 6Cube root of 216 in exponential form: (216)⅓Cube source of 216 in radical form: ∛216

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1.What is the Cube source of 216?
2.How to calculate the Cube root of 216?
3.Is the Cube source of 216 Irrational?
4.FAQs top top Cube root of 216

The cube root of 216 is the number which once multiplied by itself three times gives the product together 216. Due to the fact that 216 can be expressed as 2 × 2 × 2 × 3 × 3 × 3. Therefore, the cube root of 216 = ∛(2 × 2 × 2 × 3 × 3 × 3) = 6.


Cube source of 216 by prime Factorization

Prime administrate of 216 is 2 × 2 × 2 × 3 × 3 × 3Simplifying the above expression: 23 × 33Simplifying further: 63

Therefore, the cube source of 216 by element factorization is (2 × 2 × 2 × 3 × 3 × 3)1/3 = 6.


No, due to the fact that ∛216 = ∛(2 × 2 × 2 × 3 × 3 × 3) have the right to be to express in the type of p/q i.e. 6/1. Therefore, the value of the cube source of 216 is an creature (rational).

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Example 3: What is the value of ∛216 + ∛(-216)?

Solution:

The cube root of -216 is equal to the an unfavorable of the cube root of 216.i.e. ∛-216 = -∛216Therefore, ∛216 + ∛(-216) = ∛216 - ∛216 = 0


 

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FAQs top top Cube source of 216

What is the value of the Cube root of 216?

We deserve to express 216 together 2 × 2 × 2 × 3 × 3 × 3 i.e. ∛216 = ∛(2 × 2 × 2 × 3 × 3 × 3) = 6. Therefore, the value of the cube source of 216 is 6.

How to leveling the Cube root of 216/343?

We understand that the cube source of 216 is 6 and the cube source of 343 is 7. Therefore, ∛(216/343) = (∛216)/(∛343) = 6/7 = 0.8571.

What is the Cube of the Cube root of 216?

The cube the the cube source of 216 is the number 216 itself i.e. (∛216)3 = (2161/3)3 = 216.

What is the Cube root of -216?

The cube source of -216 is equal to the an unfavorable of the cube root of 216. Therefore, ∛-216 = -(∛216) = -(6) = -6.

Why is the worth of the Cube root of 216 Rational?

The worth of the cube root of 216 have the right to be express in the kind of p/q i.e. = 6/1, wherein q ≠ 0. Therefore, the ∛216 is rational.

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What is the value of 15 plus 12 Cube source 216?

The value of ∛216 is 6. So, 15 + 12 × ∛216 = 15 + 12 × 6 = 87. Hence, the value of 15 add to 12 cube root 216 is 87.