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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).
What are three equal factors of a number?
One of them would be the cube root.
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 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.
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 one of a number's three equal factors?
A cube root.
What is x to the power of one third?
It is the cube root of x.
What is One of the three equal factors of a number is called the?
cube root
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).
What is one of 2 equal factors of a number or expression?
A Square Root is one of the two equal factors of a number.
If the volume of a cube is 125 find the length of one of the face diagonals of the cube?
find the cube root of 125(which is 5) is the length of one side do Pythagorean theorem to find the diagonal 5squared plus 5 squared=50 square root of 50=7.07106781 is diagonal
