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

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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).

☛ additionally Check:


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


 

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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.