Set the radical number a>=0, from which is extracted the root. Suppose for example a=8. Also referred to as the number standing under the root sign.
Write the integer n1. It is called the index of the root. If n=2, we are talking about the square root of a number. If n=3, the root is called cubic. For example, let us take n=6.
Select an integer k — the degreein which it is necessary to erect root. Let k=2.
Specify the resulting solution for example. In this case, you have to square root to the sixth power of the number eight.
To solve the problem erect in the degree of radical number: 82=64.
Formulate the resulting problem: now you need to extract the root of the sixth power of the number 64.
Convert radical expression: 64=8*8, i.e. it is necessary to extract the root of the sixth power of two multipliers. Otherwise can be written as: the root of the sixth power of eight multiplied by the root of the sixth power of the number eight. Another option the recording: the root of the sixth power of the number eight in the square.
Another transform used in the example: 6=3*2. Now square — number two — is in radical expression and exponent. Therefore, they can be mutually reduced, then an example will be, the root of the third degree of the number eight. Cubic root of eight equals two is the answer.
To build the root in the degree in another way, after the fourth step of the transform from n=6=3*2. Number two is in degree, and in the figure of the root, so the two can be reduced.
Write down the transformed problem: find the root of the third degree of the number eight. With the radicals did not have to do anything, because the sample is immediately simplified. The answer is two cubic root of eight.