The worth of the cube source of 1000 is 10. The is the genuine solution of the equation x3 = 1000. The cube root of 1000 is expressed as ∛1000 in radical type and together (1000)⅓ or (1000)0.33 in the exponent form. Together the cube source of 1000 is a totality number, 1000 is a perfect cube.

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

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1.What is the Cube root of 1000?
2.How to calculation the Cube source of 1000?
3.Is the Cube root of 1000 Irrational?
4.FAQs on Cube source of 1000

What is the Cube source of 1000?


The cube root of 1000 is the number which as soon as multiplied by itself three times gives the product together 1000. Because 1000 have the right to be expressed together 2 × 2 × 2 × 5 × 5 × 5. Therefore, the cube root of 1000 = ∛(2 × 2 × 2 × 5 × 5 × 5) = 10.


How to calculate the value of the Cube source of 1000?


Cube root of 1000 by element 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 prime factorization is (2 × 2 × 2 × 5 × 5 × 5)1/3 = 10.


Is the Cube source of 1000 Irrational?


No, because ∛1000 = ∛(2 × 2 × 2 × 5 × 5 × 5) can be express in the type of p/q i.e. 10/1. Therefore, the value of the cube source of 1000 is an essence (rational).

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Cube source of 1000 resolved Examples


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

Solution:

The cube source of -1000 is same to the negative 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 can express 1000 as 2 × 2 × 2 × 5 × 5 × 5 i.e. ∛1000 = ∛(2 × 2 × 2 × 5 × 5 × 5) = 10. Therefore, the worth of the cube source of 1000 is 10.

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

The worth of ∛1000 is 10. So, 10 + 7 × ∛1000 = 10 + 7 × 10 = 80. Hence, the worth of 10 add to 7 cube source 1000 is 80.

What is the Cube the the Cube source of 1000?

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

What is the Cube root of -1000?

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

Is 1000 a Perfect Cube?

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

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How to simplify the Cube root of 1000/27?

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