The value of the cube root of 64 is 4. It is the real solution of the equation x3 = 64. The cube source of 64 is expressed together ∛64 in radical type and together (64)⅓ or (64)0.33 in the exponent form. Together the cube root 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 root of 64?
3.Is the Cube source of 64 Irrational?
4.FAQs on Cube root of 64

The cube root of 64 is the number which as soon as multiplied by itself three times provides the product together 64. Because 64 deserve to 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 exactly how to calculate the cube root of 64 step-wise.

Cube root of 64 by prime Factorization

Step 1: determine the element factorization of 64 i.e. 64 = 2 × 2 × 2 × 2 × 2 × 2Step 2: group the prime determinants of 64 in teams of three each. 64 = (2 × 2 × 2) × (2 × 2 × 2) = 23 × 2 3Step 4: take the cube source on both political parties of the equation.

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


No, since ∛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 worth of the cube root of 64 is an essence (rational).

☛ likewise Check:


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

Solution:

The cube source of -64 is equal to the an unfavorable of the cube source of 64.⇒ ∛-64 = -∛64Therefore,⇒ ∛64/∛(-64) = ∛64/(-∛64) = -1


 

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FAQs on Cube root of 64

What is the worth of the Cube root of 64?

We can express 64 as 2 × 2 × 2 × 2 × 2 × 2 i.e. ∛64 = ∛(2 × 2 × 2 × 2 × 2 × 2) = 4. Therefore, the value of the cube root of 64 is 4.

How to simplify the Cube root of 64/125?

We recognize 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 gives 2 × 2 × 2 × 2 × 2 × 2. Combine the prime factors in teams of 3 gives 4. So, the cube root of 64 = ∛(2 × 2 × 2 × 2 × 2 × 2) = 4 (perfect cube).

If the Cube source of 64 is 4, discover the worth of ∛0.064.

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

Why is the worth of the Cube source of 64 Rational?

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

What is the worth of Cube source of -64?

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

Write -64 together a product of its prime factors: -64= -(2 × 2 × 2 × 2 × 2 × 2)Club the determinants into groups of three each: -64= -23 × 23 = -43Take the cube source on both sides of the equation: 3-64 = 3-43= -4

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

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

The worth of cube root of 64 and 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 root of 8 is a rational number.

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What is the Cube that the Cube root of 64?

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