Calculates the cube root of any numberYou can calculate a cube root, positive or negative, with our online cube root tool. Simply enter the number to which you want to apply the root and click on the calculate button. You will immediately get the value you are looking for, without manual operations.
What is the significance of the value obtained after applying the cube root of a number? Well, if you multiply that number by itself a total of three times, you will get the value of the radicand.
What is the cube root of 64?
As a practical example that demonstrates the theory we have seen, we will calculate the cube root of the number 64.
To get our heads around it, we have to find a number in such a way that when we cube it or multiply it by itself three times, it gives us 64.
Thus, we can verify that:
4 x 4 x 4 x 4 = 43 = 64
Therefore, the cube root of 64 is 4.
Cubic root of -1
In this case we must repeat the previous approach, that is to say, what number when multiplied by itself three times gives us as a result -1? Indeed, it is -1. Let's see it in more detail:
-1 x -1 x-1 = -13 = -1
As you can see, we make use of the rule of signs for multiplications which in this case is very important to know in order to properly calculate the cube root of this number.
Cubic root of -8
Exactly as in the previous case, we use again the sign rule to find out a number that, when raised to the cube, gives us -8. The result to this unknown is the following:
-2 x -2 x -2 x -2 = -8
Keep in mind that if we take the number two, when we raise it to the cube we will obtain that it is equal to eight but in this case we have a negative sign in front of it.
Cube root of 27
In case you have any doubts about how to calculate the cube root of a numberLet's see one more example in which we are going to calculate the cube root of 27.
In the same way as in the previous examples, we have to find a number that when we raise it to the cube, gives us as a result the number 27, the cube root of 27 is 3 as we can see below:
3 x 3 x 3 x 3 = 27
Cube root graph
The graph above shows a representation of a small interval of real numbers subjected to the cube root function, so you can have a slight idea of how to draw it on a coordinate axis.
In contrast to square roots, it is possible to carry out the following without problems cube root of a negative numberwhich will result in another negative number.
There is the possibility of making the cube root of a complex number but that implies working in polar coordinates, something that we will explain later on how to do since it requires more extensive mathematical knowledge.
Cubic root in excel
To calculate the cube root of a number in ExcelIn the Microsoft program, we have to use the following formula:
A1 being the coordinates of the cell in which the number of which you want to calculate the root is located.
Why have we used a power formula? This is because Excel does not have a function to calculate the cube root. so it forces us to use an alternative method.
You know that roots can be expressed in potential form with an exponent of the type 1/n, where n is the value found in the radicand, which in the case of cubic roots is the number 3.
If you have any questions, we recommend that you watch the video we have recorded with a practical example or if you prefer, leave us a comment and we will help you as soon as possible.
How the cube root calculator works
In this video we have recorded how our cube root calculator onlineWe hope that with it you can solve all your doubts. If you still don't know how to find the root of a particular number, leave us a comment and we will try to help you as soon as possible.
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