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Section 10.3 – 10.4

Section 10.3 – 10.4. Multiplying and Dividing Radical Expressions. Questions. Q: True or False? Product /Quotient Rule for Radicals. True. False. True. False. True. False. True. False. where a, b are non-negative numbers . A radical expression is in simplified form if.

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Section 10.3 – 10.4

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  1. Section 10.3 – 10.4 Multiplying and Dividing Radical Expressions

  2. Questions • Q: True or False? • Product /Quotient Rule for Radicals True False True False True False True False

  3. where a, b are non-negative numbers A radical expression is in simplified form if 1) The power of each factor in the radical is less than the index 2) The radicand contains no fractions or negative numbers 3) No radical appears in the denominator. Product and Quotient Rules

  4. Examples Simplify the following expressions

  5. Example Divide and, if possible, simplify. Solution Because the indices match, we can divide the radicands.

  6. Solution continued

  7. Rationalizing Denominators or Numerators With One Term When a radical expression appears in a denominator, it can be useful to find an equivalent expression in which the denominator no longer contains a radical. The procedure for finding such an expression is called rationalizing the denominator.

  8. Example Rationalize each denominator. Solution Multiplying by 1

  9. Solution

  10. Property of radicals when n is odd when n is even

  11. Evaluate the radical expressions

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