The value of the cube root of 64 is 4. The is the genuine solution the the equation x3 = 64. The cube root of 64 is expressed together ∛64 in radical form and together (64)⅓ or (64)0.33 in the exponent form. Together the cube source of 64 is a totality number, 64 is a perfect cube.

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**Cube root of 64:**4

**Cube root of 64 in exponential form:**(64)⅓

**Cube root of 64 in radical form:**∛64

1. | What is the Cube root of 64? |

2. | How to calculate the Cube source of 64? |

3. | Is the Cube source of 64 Irrational? |

4. | FAQs top top Cube root of 64 |

The cube source of 64 is the number which once multiplied by itself 3 times provides the product together 64. Because 64 can be expressed as 2 × 2 × 2 × 2 × 2 × 2. Therefore, the cube root of 64 = ∛(2 × 2 × 2 × 2 × 2 × 2) = 4.

In this section, we will learn exactly how to calculation the cube source of 64 step-wise.

### Cube source of 64 by element Factorization

**Step 1**: recognize the prime factorization of 64 i.e. 64 = 2 × 2 × 2 × 2 × 2 × 2

**Step 2**: group the prime components of 64 in groups of 3 each. 64 = (2 × 2 × 2) × (2 × 2 × 2) = 23 × 2 3

**Step 4**: take the cube root on both sides of the equation.

Therefore, the cube source of 64 by element factorization is (2 × 2 × 2 × 2 × 2 × 2)1/3 = 4.

No, due to the fact that ∛64 = ∛(2 × 2 × 2 × 2 × 2 × 2) have the right to be express in the type of p/q i.e. 4/1. Therefore, the worth of the cube root of 64 is an creature (rational).

**☛ likewise Check:**

**Example 3: What is the value of ∛64 ÷ ∛(-64)?**

**Solution: **

The cube source of -64 is same to the negative of the cube root of 64.⇒ ∛-64 = -∛64Therefore,⇒ ∛64/∛(-64) = ∛64/(-∛64) = -1

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## FAQs top top Cube root of 64

### What is the worth of the Cube root of 64?

We have the right to express 64 together 2 × 2 × 2 × 2 × 2 × 2 i.e. ∛64 = ∛(2 × 2 × 2 × 2 × 2 × 2) = 4. Therefore, the value of the cube source of 64 is 4.

### How to leveling the Cube source of 64/125?

We recognize that the cube root of 64 is 4 and the cube source of 125 is 5. Therefore, ∛(64/125) = (∛64)/(∛125) = 4/5 = 0.8.

### Is 64 a Perfect Cube?

The number 64 on element factorization offers 2 × 2 × 2 × 2 × 2 × 2. Combine the prime components in teams of 3 provides 4. So, the cube root of 64 = ∛(2 × 2 × 2 × 2 × 2 × 2) = 4 (perfect cube).

### If the Cube root of 64 is 4, find the worth of ∛0.064.

Let us represent ∛0.064 in p/q type i.e. ∛(64/1000) = 4/10 = 0.4. Hence, the worth of ∛0.064 = 0.4.

### Why is the worth of the Cube root of 64 Rational?

The worth of the cube root of 64 have the right to be express in the kind of p/q i.e. = 4/1, whereby q ≠ 0. Therefore, the ∛64 is rational.

### What is the value of Cube source of -64?

We understand that the cube root of an unfavorable numbers is negative.

Write -64 as a product the its prime factors: -64= -(2 × 2 × 2 × 2 × 2 × 2)Club the components into teams of three each: -64= -23 × 23 = -43Take the cube root on both political parties of the equation: 3**√**-64 = 3

**√**-43= -4

Hence, the cube source of -64 is -4.

### Find if Cube root of 64 Minus Cube source of 8 is a rational Number?

The value of cube source of 64 and also 8 is 4 and 2 dong i.e. 3**√**64 - 3**√**8 = 4 - 2 = 2. Hence, the difference between the cube source of 64 and the cube source of 8 is a rational number.

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### What is the Cube the the Cube root of 64?

The cube that the cube source of 64 is the number 64 itself i.e. (∛64)3 = (641/3)3 = 64.