The worth of the cube root of 27 is 3. It is the genuine solution of the equation x3 = 27. The cube root of 27 is expressed as ∛27 in radical create and as (27)⅓ or (27)0.33 in the exponent develop. As the cube root of 27 is a entirety number, 27 is a perfect cube.

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Cube root of 27: 3Cube root of 27 in exponential form: (27)⅓Cube root of 27 in radical form: ∛27

 1 What is the Cube Root of 27? 2 How to Calculate the Cube Root of 27? 3 Is the Cube Root of 27 Irrational? 4 FAQs on Cube Root of 27

The cube root of 27 is the number which when multiplied by itself 3 times provides the product as 27. Because 27 have the right to be expressed as 3 × 3 × 3. Because of this, the cube root of 27 = ∛(3 × 3 × 3) = 3.

### Cube Root of 27 by Prime Factorization

Prime factorization of 27 is 3 × 3 × 3Simplifying the above expression: 33

Thus, the cube root of 27 by prime factorization is (3 × 3 × 3)1/3 = 3.

No, because ∛27 = ∛(3 × 3 × 3) have the right to be expressed in the develop of p/q i.e. 3/1. Therefore, the value of the cube root of 27 is an integer (rational).

☛ Also Check:

Example 1: What is the value of ∛27 + ∛(-27)?

Solution:

The cube root of -27 is equal to the negative of the cube root of 27.i.e. ∛-27 = -∛27Therefore, ∛27 + ∛(-27) = ∛27 - ∛27 = 0

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## FAQs on Cube Root of 27

### What is the Value of the Cube Root of 27?

We can expush 27 as 3 × 3 × 3 i.e. ∛27 = ∛(3 × 3 × 3) = 3. As such, the worth of the cube root of 27 is 3.

### If the Cube Root of 27 is 3, Find the Value of ∛0.027.

Let us represent ∛0.027 in p/q create i.e. ∛(27/1000) = 3/10 = 0.3. Hence, the value of ∛0.027 = 0.3.

### Why is the worth of the Cube Root of 27 Rational?

The value of the cube root of 27 deserve to be expressed in the form of p/q i.e. = 3/1, wbelow q ≠ 0. Thus, the ∛27 is rational.

### Is 27 a Perfect Cube?

The number 27 on prime factorization gives 3 × 3 × 3. On combining the prime factors in groups of 3 provides 3. So, the cube root of 27 = ∛(3 × 3 × 3) = 3 (perfect cube).

### What is the Value of 2 Plus 8 Cube Root 27?

The worth of ∛27 is 3. So, 2 + 8 × ∛27 = 2 + 8 × 3 = 26. Hence, the worth of 2 plus 8 cube root 27 is 26.

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### What is the Cube of the Cube Root of 27?

The cube of the cube root of 27 is the number 27 itself i.e. (∛27)3 = (271/3)3 = 27.