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

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