The value of the cube source of 216 is 6. That is the real solution of the equation x3 = 216. The cube source of 216 is expressed together ∛216 in radical type and together (216)⅓ or (216)0.33 in the exponent form. As the cube root of 216 is a whole number, 216 is a perfect cube.

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

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

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

Cube root 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 prime factorization is (2 × 2 × 2 × 3 × 3 × 3)1/3 = 6.

No, because ∛216 = ∛(2 × 2 × 2 × 3 × 3 × 3) deserve to be to express in the form of p/q i.e. 6/1. Therefore, the worth of the cube source of 216 is an integer (rational).

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

Solution:

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

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FAQs on Cube source of 216

What is the worth of the Cube root of 216?

We have the right to express 216 together 2 × 2 × 2 × 3 × 3 × 3 i.e. ∛216 = ∛(2 × 2 × 2 × 3 × 3 × 3) = 6. Therefore, the worth of the cube root of 216 is 6.

How to leveling the Cube source of 216/343?

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

What is the Cube the the Cube source of 216?

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

What is the Cube source of -216?

The cube source of -216 is same to the negative of the cube root of 216. Therefore, ∛-216 = -(∛216) = -(6) = -6.

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

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

See more: 2 To What Power Equals 64 - 2 To The X Power Equals 64

What is the value of 15 to add 12 Cube root 216?

The value of ∛216 is 6. So, 15 + 12 × ∛216 = 15 + 12 × 6 = 87. Hence, the worth of 15 plus 12 cube source 216 is 87.