The value of the cube source of 500 rounded come 6 decimal areas is 7.937005. The is the actual solution the the equation x3 = 500. The cube root of 500 is expressed as ∛500 or 5 ∛4 in the radical kind and together (500)⅓ or (500)0.33 in the exponent form. The prime factorization the 500 is 2 × 2 × 5 × 5 × 5, hence, the cube source of 500 in its lowest radical kind is expressed as 5 ∛4.
You are watching: What is the cube root of 500
| 1. | What is the Cube root of 500? |
| 2. | How to calculation the Cube source of 500? |
| 3. | Is the Cube root of 500 Irrational? |
| 4. | FAQs ~ above Cube source of 500 |
What is the Cube source of 500?
The cube root of 500 is the number which once multiplied by itself three times gives the product together 500. Since 500 can be expressed together 2 × 2 × 5 × 5 × 5. Therefore, the cube source of 500 = ∛(2 × 2 × 5 × 5 × 5) = 7.937.
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exactly how to calculation the worth of the Cube source of 500?
Cube source of 500 by Halley"s method
that formula is ∛a ≈ x ((x3 + 2a)/(2x3 + a)) where, a = number whose cube root is gift calculated x = integer assumption: v of that is cube root.
here a = 500 Let us assume x as 7 <∵ 73 = 343 and 343 is the nearest perfect cube that is much less than 500> ⇒ x = 7 Therefore, ∛500 = 7 (73 + 2 × 500)/(2 × 73 + 500)) = 7.93 ⇒ ∛500 ≈ 7.93 Therefore, the cube root of 500 is 7.93 approximately.
Is the Cube source of 500 Irrational?
Yes, because ∛500 = ∛(2 × 2 × 5 × 5 × 5) = 5 ∛4 and it cannot be to express in the form of p/q whereby q ≠ 0. Therefore, the value of the cube source of 500 is one irrational number.
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Cube root of 500 fixed Examples
example 2: What is the worth of ∛500 + ∛(-500)?
Solution:
The cube source of -500 is same to the negative of the cube root of 500. I.e. ∛-500 = -∛500 Therefore, ∛500 + ∛(-500) = ∛500 - ∛500 = 0
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FAQs ~ above Cube root of 500
What is the value of the Cube root of 500?
We can express 500 as 2 × 2 × 5 × 5 × 5 i.e. ∛500 = ∛(2 × 2 × 5 × 5 × 5) = 7.93701. Therefore, the worth of the cube source of 500 is 7.93701.
What is the Cube that the Cube source of 500?
The cube the the cube root of 500 is the number 500 chin i.e. (∛500)3 = (5001/3)3 = 500.
Is 500 a Perfect Cube?
The number 500 on element factorization offers 2 × 2 × 5 × 5 × 5. Here, the prime variable 2 is no in the power of 3. Because of this the cube source of 500 is irrational, for this reason 500 is no a perfect cube.
Why is the worth of the Cube source of 500 Irrational?
The value of the cube root of 500 can not be express in the kind of p/q where q ≠ 0. Therefore, the number ∛500 is irrational.
How to leveling the Cube root of 500/729?
We understand that the cube source of 500 is 7.93701 and also the cube source of 729 is 9. Therefore, ∛(500/729) = (∛500)/(∛729) = 7.937/9 = 0.8819.
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What is the Cube root of -500?
The cube root of -500 is same to the an adverse of the cube source of 500. Therefore, ∛-500 = -(∛500) = -(7.937) = -7.937.