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5-6 Simplifying Radical Expressions

Learn to simplify radical expressions using product properties and rules. Understand taking roots, simplifying perfect squares, and expressing odd powers as products of even powers. Master the art of simplification!

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5-6 Simplifying Radical Expressions

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  1. 5-6Simplifying Radical Expressions Mr. Calise Algebra II

  2. Objective: • Understand and use the operation of taking a root.

  3. Product Properties for Radicals • For any nonnegative real numbers x and y. a. b.

  4. Using the Product Properties

  5. Rules for Radical Expressions • Simplify the radicand first • When odd powers occur, express the power as the product of the largest even power and your exponential base. • Simplify your perfect squares.

  6. Simplify

  7. Simplify

  8. Simplify

  9. Simplify

  10. Simplify • All even powers are perfect squares.

  11. Simplify

  12. Simplify

  13. Simplify

  14. Simplify • Express odd powers as the product of the largest even power and your exponential base.

  15. Simplify

  16. Simplify

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