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Because the cube of a positive number is positive and the cube of a negative number is negative.
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Every number has THREE cube roots. However, (at least) two of the three are complex numbers.
For example, the cube roots of 8 are 2, (-1 + √3 i) and (-1 - √3 i) with i² = -1:
2³ = 2 × 2 × 2 = 8
(-1 + √3 i)³ = (-1 + √3 i)(-1 + √3 i)(-1 + √3 i)
= (-1 + √3 i)((-1)² - 2√3 i + 3i²)
= (-1 + √3 i)(1 - 2√3 i -3)
= (-1 + √3 i)(-2 - 2√3 i)
= (-1 + √3 i)(-1 - √3 i)2
= ((-1)² - 3i²)2
= (1 + 3)2
= 4 × 2 = 8
(-1 - √3 i)³ = (-1 - √3 i)(-1 - √3 i)(-1 - √3 i)
= (-1 - √3 i)((-1)² + 2√3 i + 3i²)
= (-1 - √3 i)(1 + 2√3 i -3)
= (-1 - √3 i)(-2 + 2√3 i)
= (-1 - √3 i)(-1 + √3 i)2
= ((-1)² - 3i²)2
= (1 + 3)2
= 4 × 2 = 8
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What is the abbreviation for cube root?
"cbrt" is acceptable abbreviation of cube root, although it is much easier to write "^(1/3)", which is the one-third power, or the cube root. They are mathematically identical.
The cube root of this number is one more than the smallest prime?
The cube root of this number is one more than the smallest prime
What expression has a value between 14 and 15?
There are infinitely many possible expressions. One such is 3000^(1/3), that is, the cube root of 3000.
How do you find the cube root on a caculator?
Do the number ^ (1/3). The number to the one-third power. It's the same as the cube root of the number.
How do you find the edge of a cube if the volume is 200?
The equation of the volume of a cube is s^3, where 's' is the length of one edge. So the edge would be the cubed root of the volume. In your case, the cube root of 200. Which is 5.848 (approx).
How many dimensions does a cube root as a perfect cube have?
A cube root of a perfect cube has only one dimension. A perfect cube is a number that can be obtained by multiplying an integer by itself three times. Taking the cube root of a perfect cube will give you the original integer value, effectively reducing the dimensionality back to one.
What are three equal factors of a number?
One of them would be the cube root.
What is the cube root of volume of cube?
The volume of a cube is determined by cubing the length of one edge, so the cube root of the volume will give you the length of an edge. (In a cube, all of the edges are the same length)
What is the abbreviation for cube root?
"cbrt" is acceptable abbreviation of cube root, although it is much easier to write "^(1/3)", which is the one-third power, or the cube root. They are mathematically identical.
The cube root of this number is one more than the smallest prime?
The cube root of this number is one more than the smallest prime
Can you have more than one cube root?
No.
What is the side length of a cube?
Answer in short: cube root of volume. Side length of a cube is the cube root of the volume of the cube or the square root of the area of one of its sides. Examples: A cube of volume 64 has a side length of 4, and a side area of 16. A cube is a symmetrical three dimensional object.
What expression has a value between 14 and 15?
There are infinitely many possible expressions. One such is 3000^(1/3), that is, the cube root of 3000.
Can a number have more than one cube root?
No.
How do you find the cube root on a caculator?
Do the number ^ (1/3). The number to the one-third power. It's the same as the cube root of the number.
What is the of cube root of one?
The cube root of 1 will also be 1. You can check with the complementary operation: 1*1*1=1 (true).
What is one of a number's three equal factors?
A cube root.
