The root of n-th degree, the properties of the roots of the nth degree

Definition: the Root - degree of a real number is called a number, and the degree of which is equal to .

Definition: the Arithmetic root - degree of an integral number is an integral number, and the degree of which is equal to .

— root — index root— radical expression.

The scope of the roots (real numbers)

For the root of an odd degree

— exists for all values

Root fresh degree

— exists only if

Properties of the roots of the nth degree

for all out of scope of the expression

Example:

Example:

Example:p>

1. 
2. 
3. 
4. 
5. 
6. for all out of scope of the expression
7. The root from the root
8. The root of a degree
9. Root of the product
10. The root of the share
11. The main property of roots
12. The imposition of a multiplier from under the sign of the root
13. 
14. The introduction of the multiplier under the sign of the root

15. 

    Example: