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6.2 – Simplified Form for Radicals. Product Rule for Square Roots. Examples:. 6.2 – Simplified Form for Radicals. Quotient Rule for Square Roots. Examples:. 6.2 – Simplified Form for Radicals. 6.2 – Simplified Form for Radicals. Rationalizing the Denominator.

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  1. 6.2 – Simplified Form for Radicals Product Rule for Square Roots Examples:

  2. 6.2 – Simplified Form for Radicals Quotient Rule for Square Roots Examples:

  3. 6.2 – Simplified Form for Radicals

  4. 6.2 – Simplified Form for Radicals Rationalizing the Denominator Radical expressions, at times, are easier to work with if the denominator does not contain a radical. The process to clear the denominator of all radicals is referred to as rationalizing the denominator

  5. 6.2 – Simplified Form for Radicals Examples:

  6. 6.2 – Simplified Form for Radicals Examples:

  7. 6.2 – Simplified Form for Radicals Theorem: If “a” is a real number, then . Examples:

  8. 6.3 - Addition and Subtraction of Radical Expressions Review and Examples:

  9. 6.3 - Addition and Subtraction of Radical Expressions Simplifying Radicals Prior to Adding or Subtracting

  10. 6.3 - Addition and Subtraction of Radical Expressions Simplifying Radicals Prior to Adding or Subtracting

  11. 6.3 - Addition and Subtraction of Radical Expressions Simplifying Radicals Prior to Adding or Subtracting

  12. 6.3 - Addition and Subtraction of Radical Expressions Examples:

  13. 6.3 - Addition and Subtraction of Radical Expressions Examples:

  14. 6.3 - Addition and Subtraction of Radical Expressions A Challenging Example

  15. 6.4 –Multiplication and Division of Radical Expressions Examples:

  16. 6.4 –Multiplication and Division of Radical Expressions Examples:

  17. 6.4 –Multiplication and Division of Radical Expressions Examples:

  18. 6.4 –Multiplication and Division of Radical Expressions Review: (x + 3)(x – 3)  x2 – 3x + 3x – 9  x2 – 9

  19. 6.4 –Multiplication and Division of Radical Expressions If the denominator contains a radical and it is not a monomial term, then the use of a conjugate is required in order to rationalize the denominator. conjugate

  20. 6.4 –Multiplication and Division of Radical Expressions Example:

  21. 6.4 –Multiplication and Division of Radical Expressions Example:

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