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

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1.What is the Cube source of 64?
2.How to calculate the Cube root of 64?
3.Is the Cube source of 64 Irrational?
4.FAQs top top Cube source of 64

The cube source of 64 is the number which as soon as multiplied through itself 3 times offers the product together 64. Due to the fact that 64 can be expressed as 2 × 2 × 2 × 2 × 2 × 2. Therefore, the cube source of 64 = ∛(2 × 2 × 2 × 2 × 2 × 2) = 4.


In this section, we will certainly learn exactly how to calculate 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 factors of 64 in teams of three each. 64 = (2 × 2 × 2) × (2 × 2 × 2) = 23 × 2 3Step 4: take it the cube root on both sides 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, because ∛64 = ∛(2 × 2 × 2 × 2 × 2 × 2) can be express in the form of p/q i.e. 4/1. Therefore, the value of the cube root of 64 is an essence (rational).

☛ likewise Check:


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

Solution:

The cube root 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 on Cube source 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 source of 64/125?

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

Is 64 a Perfect Cube?

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

If the Cube root of 64 is 4, discover the worth 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 source of 64 Rational?

The value of the cube source of 64 have the right to be express in the type 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 know that the cube source of an unfavorable numbers is negative.

Write -64 together a product the its prime factors: -64= -(2 × 2 × 2 × 2 × 2 × 2)Club the determinants 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 source of 64 Minus Cube source of 8 is a reasonable Number?

The value of cube root of 64 and also 8 is 4 and also 2 respectively i.e. 364 - 38 = 4 - 2 = 2. Hence, the difference between the cube root of 64 and the cube root of 8 is a reasonable number.

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What is the Cube that the Cube root of 64?

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