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Simplifying Irrational Algebraic Functions: A Guide to Radicals and Simple Radical Form

In this chapter, we explore how to simplify expressions containing radicals, focusing on achieving the simplest radical form. An expression is considered to be in simple radical form if the radicand contains no nth powers as factors, the root index is as low as possible, and there are no radicals in the denominator. Practicing these simplification techniques will enhance your understanding of algebraic functions involving radicals. Complete the exercises provided to solidify your skills in this area.

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Simplifying Irrational Algebraic Functions: A Guide to Radicals and Simple Radical Form

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  1. CHAPTER 8:Irrational algebraic functions Section 8-3: Radicals, and Simple Radical Form

  2. objective • Given an expression containing radicals, be able to write it in as simple a form as possible without actually evaluating it.

  3. Simple Radical Form • An expression is in simple radical form if: • The radicand of an nthroot contains no nthpowers as factors. • The root index is as low as possible. • There are no radicals in the denominator

  4. Simplify:

  5. Simplify:

  6. Simplify:

  7. Simplify:

  8. Homework: Page 420: #1-37 odd

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