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Radical Expression Manipulation & Properties: Simplify, Rationalize, Graph

Explore simplifying, rationalizing, graphing radical expressions. Learn properties, apply through examples & practice exercises.

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Radical Expression Manipulation & Properties: Simplify, Rationalize, Graph

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  1. 8.7 Simplifying Radical Expressions Objectives: Add, subtract, multiply, divide, and simplify radical expressions Rationalize a denominator

  2. Properties of Radicals Graph . What function does the graph represent?

  3. Properties of Radicals What do you think the graph of will look like?

  4. Properties of Radicals Graph . What function does the graph represent?

  5. Properties of Radicals What do you think the graph of will look like?

  6. Properties of Radicals For any real number a,

  7. Example 1 Simplify the expression .

  8. Example 2 Simplify the expression .

  9. Practice Simplify each expression. 1) 2)

  10. Example 3 Simplify the expression . Assume that the value of each variable is positive.

  11. Example 4 Simplify the expression. Assume that the value of each variable is positive.

  12. Practice Simplify each expression. Assume that the value of each variable is positive. 1) 2)

  13. Example 5 Simplify the sum .

  14. Example 6 Simplify the difference .

  15. Example 7 Simplify the product .

  16. Practice Simplify. 1) 2)

  17. Example 8 Write the expression with a rational denominator.

  18. Example 9 Write the expression with a rational denominator.

  19. Homework Lesson 8.7 exercises 14, 15, 18, 19, 26, 29, 36, 37, 40, 41, 42, 45-89 alternating odds, 91, 92

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