The value of the cube root of 729 is 9. It is the genuine solution of the equation x3 = 729. The cube source of 729 is expressed as ∛729 in radical kind and as (729)⅓ or (729)0.33 in the exponent form. As the cube root of 729 is a whole number, 729 is a perfect cube.

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Cube source of 729: 9Cube root of 729 in exponential form: (729)⅓Cube root of 729 in radical form: ∛729 1 What is the Cube source of 729? 2 How to calculation the Cube source of 729? 3 Is the Cube source of 729 Irrational? 4 FAQs top top Cube root of 729

The cube root of 729 is the number which when multiplied by itself 3 times gives the product as 729. Because 729 deserve to be expressed as 3 × 3 × 3 × 3 × 3 × 3. Therefore, the cube root of 729 = ∛(3 × 3 × 3 × 3 × 3 × 3) = 9.

### Cube source of 729 by element Factorization

Prime factorization of 729 is 3 × 3 × 3 × 3 × 3 × 3Simplifying the over expression: 36Simplifying further: 93

Therefore, the cube source of 729 by element factorization is (3 × 3 × 3 × 3 × 3 × 3)1/3 = 9.

No, since ∛729 = ∛(3 × 3 × 3 × 3 × 3 × 3) can be expressed in the type of p/q i.e. 9/1. Therefore, the value of the cube root of 729 is an integer (rational).

Example 1: What is the worth of ∛729 ÷ ∛(-729)?

Solution:

The cube source of -729 is same to the negative of the cube source of 729.⇒ ∛-729 = -∛729Therefore,⇒ ∛729/∛(-729) = ∛729/(-∛729) = -1 Math is at the core of everything we do. Reap solving real-world math troubles in live classes and become an professional at everything.

## FAQs ~ above Cube source of 729

### What is the worth of the Cube root of 729?

We can express 729 together 3 × 3 × 3 × 3 × 3 × 3 i.e. ∛729 = ∛(3 × 3 × 3 × 3 × 3 × 3) = 9. Therefore, the value of the cube source of 729 is 9.

### What is the Cube source of -729?

The cube root of -729 is equal to the negative of the cube root of 729. Therefore, ∛-729 = -(∛729) = -(9) = -9.

### If the Cube source of 729 is 9, find the worth of ∛0.729.

Let us stand for ∛0.729 in p/q kind i.e. ∛(729/1000) = 9/10 = 0.9. Hence, the value of ∛0.729 = 0.9.

### Is 729 a Perfect Cube?

The number 729 on element factorization gives 3 × 3 × 3 × 3 × 3 × 3. On combining the prime determinants in groups of 3 gives 9. So, the cube root of 729 = ∛(3 × 3 × 3 × 3 × 3 × 3) = 9 (perfect cube).

### Why is the value of the Cube root of 729 Rational?

The value of the cube root of 729 deserve to be expressed in the type of p/q i.e. = 9/1, wherein q ≠ 0. Therefore, the ∛729 is rational.

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### What is the Cube that the Cube root of 729?

The cube the the cube root of 729 is the number 729 chin i.e. (∛729)3 = (7291/3)3 = 729.