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11.2C

11.2C. Dividing Square Roots. Quotient property The square root of a quotient equals the quotient of the square roots of the numerator and denominator. Example 1: Simplify. a). =. b). =. c). =. d). =. e). =. f). =. g). =. h). =. Example 2: Simplify. a). =. b). =. c). =.

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11.2C

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  1. 11.2C Dividing Square Roots

  2. Quotient property The square root of a quotient equals the quotient of the square roots of the numerator and denominator.

  3. Example 1: Simplify. a) =

  4. b) =

  5. c) =

  6. d) =

  7. e) =

  8. f) =

  9. g) =

  10. h) =

  11. Example 2: Simplify a) =

  12. b) =

  13. c) =

  14. d) =

  15. Simplified radicals are those with no perfect squares or fractions under the radical sign.

  16. Example 3: Simplifying with separate radicals

  17. a) =

  18. b) =

  19. c) =

  20. d) =

  21. Example 4: Multiplying square roots

  22. What is the shortcut?

  23. Rationalizing the Denominator: Fractions can't have a square root in the denominator, so multiply by the denominator to give it a partner.

  24. Example 5: Simplify the expression by rationalizing the denominator.

  25. a)

  26. b)

  27. c)

  28. d)

  29. e) =

  30. f)

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