The value of the cube root of 64 is 4. The is the real solution of the equation x3 = 64. The cube source of 64 is expressed together ∛64 in radical kind and as (64)⅓ or (64)0.33 in the exponent form. As 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 source of 64?
2.How to calculate the Cube source of 64?
3.Is the Cube source of 64 Irrational?
4.FAQs on Cube source of 64

The cube root of 64 is the number which once multiplied by itself three times offers the product as 64. Because 64 deserve to be expressed together 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 root of 64 step-wise.

Cube source of 64 by element Factorization

Step 1: recognize the element factorization of 64 i.e. 64 = 2 × 2 × 2 × 2 × 2 × 2Step 2: team the prime determinants of 64 in teams of 3 each. 64 = (2 × 2 × 2) × (2 × 2 × 2) = 23 × 2 3Step 4: take it 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, due to the fact that ∛64 = ∛(2 × 2 × 2 × 2 × 2 × 2) deserve to be to express in the type of p/q i.e. 4/1. Therefore, the worth of the cube source of 64 is an integer (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 source of 64.⇒ ∛-64 = -∛64Therefore,⇒ ∛64/∛(-64) = ∛64/(-∛64) = -1


 

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FAQs on Cube source of 64

What is the value of the Cube root of 64?

We deserve 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 simplify the Cube source of 64/125?

We understand that the cube source 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 element factorization offers 2 × 2 × 2 × 2 × 2 × 2. Combining the prime factors 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, discover the value of ∛0.064.

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

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

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

What is the value of Cube source of -64?

We know that the cube root of negative numbers is negative.

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

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

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

The worth of cube root of 64 and 8 is 4 and also 2 respectively i.e. 364 - 38 = 4 - 2 = 2. Hence, the difference in 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 of the cube root of 64 is the number 64 itself i.e. (∛64)3 = (641/3)3 = 64.