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

You are watching: What is the cubed root of 216

Cube source of 216: 6Cube root 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 source of 216 Irrational?
4.FAQs top top Cube source of 216

The cube root of 216 is the number which once multiplied by itself 3 times gives the product as 216. Because 216 have the right to be expressed together 2 × 2 × 2 × 3 × 3 × 3. Therefore, the cube source of 216 = ∛(2 × 2 × 2 × 3 × 3 × 3) = 6.


Cube root of 216 by prime Factorization

Prime factorization of 216 is 2 × 2 × 2 × 3 × 3 × 3Simplifying the over expression: 23 × 33Simplifying further: 63

Therefore, the cube root 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) deserve to be expressed in the type of p/q i.e. 6/1. Therefore, the value of the cube root of 216 is an essence (rational).

☛ additionally Check:


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

Solution:

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


 

*


Math is in ~ the main point of whatever we do. Gain solving real-world math problems in live classes and also become an experienced at everything. 

FAQs ~ above Cube root of 216

What is the value of the Cube source of 216?

We deserve to express 216 as 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 source of 216/343?

We know 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 the the Cube source 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 source of -216?

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

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

The value of the cube root of 216 can be expressed in the kind of p/q i.e. = 6/1, wherein q ≠ 0. Therefore, the ∛216 is rational.

See more: Q: How Much Do Zoo Keepers Make, Average Zookeeper Hourly Pay

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

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