3.  Arithmetic Operations Involving Radicals

     We are now interesting in investigating how to add or   subtract like radicals (called combining like radicals).  Groups within this section include: combining like radicals; combining like radicals with simplifying radicals; factoring radicals out of expressions; writing radicals in simplest radical form; and determining if radical solutions satisfy equations.

4.  Division by Radicals; Rationalizing

     In this section, we investigate how to divide radicals including removing radicals from denominators using the process known as Rationalizing the Denominator.  Groups within this section include: rationalizing the denominator with single terms in the denominator; and adding subtracting and dividing functions with rationalizing the dnominator.

5.  Solving Equations Involving Radicals

     Combining our skills of solving equations with radicals, we explore how to solve equations involving radicals.  The group within this section is called: solving equations involving radicals.

6.  Complex Numbers

     In the 1500's an Italian mathematician by the name of Gerolamo Cardano first discovered imaginary and complex numbers.  Since then, their application to most fields of mathematics, science and engineering has become a very helpful tool in investingating problems.  Here, we investigate what complex numbers are as well as explore how to perform arithmetic operations that contain imaginary or complex numbers.  Groups within this section include: simplifying powers of i; simplifying complex numbers; simplifying radicals containing negative numbers; solving equations containing complex numbers; expanding complex numbers raised to a power; and evaluating functions with complex numbers.

7.  More Applications