The worth of the cube root of 1000 is 10. It is the actual solution that the equation x3 = 1000. The cube source of 1000 is expressed as ∛1000 in radical form and as (1000)⅓ or (1000)0.33 in the exponent form. As the cube source of 1000 is a entirety number, 1000 is a perfect cube.

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Cube source of 1000: 10Cube root of 1000 in exponential form: (1000)⅓Cube source of 1000 in radical form: ∛1000

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1.What is the Cube source of 1000?
2.How to calculate the Cube source of 1000?
3.Is the Cube source of 1000 Irrational?
4.FAQs ~ above Cube source of 1000

What is the Cube root of 1000?


The cube source of 1000 is the number which as soon as multiplied through itself 3 times offers the product as 1000. Because 1000 can be expressed as 2 × 2 × 2 × 5 × 5 × 5. Therefore, the cube root of 1000 = ∛(2 × 2 × 2 × 5 × 5 × 5) = 10.


How to calculation the worth of the Cube root of 1000?


Cube root of 1000 by prime Factorization

Prime administrate of 1000 is 2 × 2 × 2 × 5 × 5 × 5Simplifying the above expression: 23 × 53Simplifying further: 103

Therefore, the cube source of 1000 by element factorization is (2 × 2 × 2 × 5 × 5 × 5)1/3 = 10.


Is the Cube root of 1000 Irrational?


No, because ∛1000 = ∛(2 × 2 × 2 × 5 × 5 × 5) have the right to be expressed in the kind of p/q i.e. 10/1. Therefore, the value of the cube root of 1000 is an creature (rational).

☛ also Check:


Cube root of 1000 fixed Examples


Example 3: What is the value of ∛1000 ÷ ∛(-1000)?

Solution:

The cube source of -1000 is same to the an unfavorable of the cube source of 1000.⇒ ∛-1000 = -∛1000Therefore,⇒ ∛1000/∛(-1000) = ∛1000/(-∛1000) = -1


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FAQs top top Cube root of 1000

What is the worth of the Cube root of 1000?

We deserve to express 1000 together 2 × 2 × 2 × 5 × 5 × 5 i.e. ∛1000 = ∛(2 × 2 × 2 × 5 × 5 × 5) = 10. Therefore, the value of the cube source of 1000 is 10.

What is the worth of 10 add to 7 Cube source 1000?

The value of ∛1000 is 10. So, 10 + 7 × ∛1000 = 10 + 7 × 10 = 80. Hence, the value of 10 plus 7 cube root 1000 is 80.

What is the Cube that the Cube source of 1000?

The cube the the cube source of 1000 is the number 1000 chin i.e. (∛1000)3 = (10001/3)3 = 1000.

What is the Cube source of -1000?

The cube root of -1000 is same to the an adverse of the cube source of 1000. Therefore, ∛-1000 = -(∛1000) = -(10) = -10.

Is 1000 a Perfect Cube?

The number 1000 on prime factorization provides 2 × 2 × 2 × 5 × 5 × 5. On combine the prime components in teams of 3 provides 10. So, the cube source of 1000 = ∛(2 × 2 × 2 × 5 × 5 × 5) = 10 (perfect cube).

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How to leveling the Cube source of 1000/27?

We understand that the cube source of 1000 is 10 and the cube root of 27 is 3. Therefore, ∛(1000/27) = (∛1000)/(∛27) = 10/3 = 3.3333.