Radical Functions

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This section is an exploration of radical functions, their uses and their mechanics.

By the end of this chapter students should be able to:

Simplify numeric radicals
Simplify algebraic radicals - using absolute values only when necessary.
Determine the domain of a given radical function.
explain the fundamental difference between even and odd radicals.
Use radicals as an inverse to a polynomial term.
Solve equalities that involve radical functions
Determine what solutions to an equality with radicals are extraneous.
Correctly use the $\pm$ sign only when it is needed.
Identify which forms of a radical expression can, or cannot, be simplified.