A radical is merely an alternative way to write an exponential whose exponent is a reciprocal . It is defined like this: This means that for every property or rule that holds for an exponential there is a corresponding property or rule for a radical. |
and .Thus the n^{th} power and the n^{th} root are inverse functions.
This means that the root of a product can be rewritten as a product of roots: and the root of a quotient can be rewritten as a quotient of roots: |
Algebra Coach Exercises |