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Chapter 3 — Simplifying Radicals and Graphing Radical Functions
This chapter explores the connections between powers with rational exponents and radical expressions. Students will gain fluency in simplifying radicals, performing operations (addition, subtraction, multiplication, and division) with numerical and variable radicands, and rationalizing denominators. The unit also covers solving radical equations algebraically and graphically, with a heavy emphasis on identifying domain restrictions and extraneous roots. These skills are foundational for understanding the real number system and solving complex algebraic relationships.