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

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Cube source of 64: 4Cube root of 64 in exponential form: (64)⅓Cube root of 64 in radical form: ∛64

 1 What is the Cube root of 64? 2 How to calculation the Cube root of 64? 3 Is the Cube source of 64 Irrational? 4 FAQs ~ above Cube source of 64

The cube root of 64 is the number which as soon as multiplied by itself three times gives the product as 64. Since 64 can be expressed together 2 × 2 × 2 × 2 × 2 × 2. Therefore, the cube root of 64 = ∛(2 × 2 × 2 × 2 × 2 × 2) = 4.

In this section, we will certainly learn how to calculate the cube root of 64 step-wise.

### Cube root of 64 by element Factorization

Step 1: recognize the prime factorization of 64 i.e. 64 = 2 × 2 × 2 × 2 × 2 × 2Step 2: group the prime determinants of 64 in groups of 3 each. 64 = (2 × 2 × 2) × (2 × 2 × 2) = 23 × 2 3Step 4: take the cube source on both sides of the equation.

Therefore, the cube root of 64 by prime 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 kind of p/q i.e. 4/1. Therefore, the value of the cube root of 64 is an creature (rational).

☛ also Check:

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

Solution:

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

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## FAQs ~ above Cube root of 64

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

We can 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 simplify the Cube root of 64/125?

We know that the cube root of 64 is 4 and also 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. Combining the prime determinants in groups of 3 gives 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 value of ∛0.064.

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

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

The worth of the cube source of 64 deserve to be express in the type of p/q i.e. = 4/1, wherein q ≠ 0. Therefore, the ∛64 is rational.

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

We recognize that the cube source of an adverse numbers is negative.

Write -64 together a product that its element factors: -64= -(2 × 2 × 2 × 2 × 2 × 2)Club the factors into teams of three each: -64= -23 × 23 = -43Take the cube source 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 root of 8 is a rational Number?

The worth of cube source of 64 and 8 is 4 and also 2 dong i.e. 364 - 38 = 4 - 2 = 2. Hence, the difference between the cube root of 64 and also the cube source of 8 is a rational number.

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

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