This unit starts by analyzing the ?x function and the x^½ function. An understanding of the vocabulary terms: radical expressions, radicand, and index will lead to an analysis of even indices versus odd indices of nth roots in order to ascertain if there is one real root, two real roots, or no real roots. The relationship between radicals and exponents results in the use of rational exponents and their connection to radical expressions. This type of exponent will be used often when rewriting radicals using exponents. Solving radical equations will follow an understanding of simplifying radical expressions. References can be made to graphing radical functions in Unit 2. Also, operations on functions from Unit 1 can be extended to include radical functions. When multiplying a radical expression by its conjugate, the radical is removed. This idea is useful when dividing radical expressions, in other words rationalizing the denominator. During this unit, it will be necessary to apply logic and previous knowledge about properties of operations and functions to assess the truth or falsity of general statements and specific equations. Eventually, these skills will be used to provide algebraic proofs and counterexamples.