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

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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 × 2Step 2: group the prime components of 64 in groups of 3 each. 64 = (2 × 2 × 2) × (2 × 2 × 2) = 23 × 2 3Step 4: take the cube root on both sides of the equation.

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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).

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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. 364 - 38 = 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.