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Math 71B

Math 71B. 7.3 – Multiplying and Simplifying Radical Expressions. Product Rule for Radicals. ( Disclaimer: Only works when are real #s. Some restrictions apply. See stores for details.). Product Rule for Radicals. Ex 1. Multiply :. Product Rule for Radicals. Ex 1. Multiply :.

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Math 71B

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  1. Math 71B 7.3 – Multiplying and Simplifying Radical Expressions

  2. Product Rule for Radicals (Disclaimer: Only works when are real #s. Some restrictions apply. See stores for details.)

  3. Product Rule for Radicals Ex 1.Multiply:

  4. Product Rule for Radicals Ex 1.Multiply:

  5. Product Rule for Radicals Ex 1.Multiply:

  6. Simplifying Radicals 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, … are ___________________(squares of integers) 8, 27, 64, 125, 216, 343, … are ______________ 16, 81, 256, 625, … are____________________

  7. Simplifying Radicals 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, … are ___________________(squares of integers) 8, 27, 64, 125, 216, 343, … are ______________ 16, 81, 256, 625, … are____________________ perfect squares

  8. Simplifying Radicals 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, … are ___________________(squares of integers) 8, 27, 64, 125, 216, 343, … are ______________ 16, 81, 256, 625, … are____________________ perfect squares perfect cubes

  9. Simplifying Radicals 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, … are ___________________(squares of integers) 8, 27, 64, 125, 216, 343, … are ______________ 16, 81, 256, 625, … are____________________ perfect squares perfect cubes perfect fourth powers

  10. Simplifying Radicals Ex 2.Simplify:

  11. Simplifying Radicals Recall: If is even, . If is odd, . Note: If is nonnegative, then the first rule becomes _____.

  12. Simplifying Radicals Recall: If is even, . If is odd, . Note: If is nonnegative, then the first rule becomes _____.

  13. Simplifying Radicals Ex 3.Simplify (assume that all variables are positive real numbers).

  14. Simplifying Radicals Ex 4.Multiply and simplify (assume that all variables are positive real numbers):

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