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The cube root calculator computes the cube root (∛x) of the number “y” for positive and negative numbers. The online third root calculator displays the cube root of the given number within a second.
“The cube root of a number is defined as the number acquired when cubed or multiplied three times by itself”.
Mathematically, the cube root of the number “x” is a value “y” such that when “y” is multiplied by itself three times (y * y * y) then it equals the original number “x.”
Where:
y = (∛x)
The perfect cube roots of the common number are mentioned above but there can also be imaginary roots of a number. Find the real and imaginary cube root in a matter of seconds with our simplify cube root calculator.
What are the principal and real roots of an integer 1000?
Formula to calculate the cube root of a number
x = ∛x
x = ∛1000
x = 10
Here all the roots are:
Root 0: 10, 0 i
Root 1: -5, 8.660254038 i
Root 2: -5, -8.660254038 i
There are certain properties of the cube root:
∛125 = 5, ∛27 = 3.
∛8 = 2,∛64 = 4.
(∛-8) = -2, (∛-27) = -3
The cube root of the common number is represented in the table:
Number (x) | Cube Root (∛x) |
---|---|
2 | 8 |
3 | 27 |
4 | 64 |
5 | 125 |
6 | 216 |
10 | 1000 |
Given the perfect cube root of the number above, you can check the cube root of the number whether it is real or imaginary with our cube root calculator.
A cube roots calculator allows you to find the cube root of a number quickly and accurately in no time:
Let’s find it how!
Input:
Output:
Yes, It is possible to find the cube root of negative numbers. The result will also be negative when evaluating a negative integer cube root. You can find both the positive and negative cube root with the cubic root calculator
Yes, the square root of a number provides you a value when squared equals the original number. The cube root. On the other hand, cube root provides a value that equals the original number when it is cubed.
Here using the prime factorization methods
1728 = 2×2×2×2×2×2×3×3×3 1728 = 23×23×33
1728 = (2×2×3)3
1728 = 123
3√1728 = 12
From Wikipedia: Cube Root
From Collegedunia.com: Perfect Cube