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Mastering Radical Equations: Step-by-Step Solutions

Learn to solve radical equations and inequalities step-by-step with examples, checks, and calculator guides. Practice with isolating radicals, squaring sides, and ensuring accurate solutions. Check your understanding with provided exercises.

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Mastering Radical Equations: Step-by-Step Solutions

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  1. Solving Radical Equations and Inequalities Objective: Solve radical equations and inequalities.

  2. Radical Equations

  3. Example 1

  4. Example 1

  5. Example 1

  6. Example 1

  7. Try This • Solve . Check your solution.

  8. Try This • Solve . Check your solution. • Isolate the radical. • Square both sides. • Solve

  9. Try This • Solve . Check your solution. • Isolate the radical. • Square both sides. • Solve • Check.

  10. Try This • Solve . Check your solution. • Isolate the radical. • Square both sides. • Solve • On the calculator:

  11. Example 2

  12. Example 2

  13. Example 2

  14. Example 2

  15. Try This • Solve . Check your solution.

  16. Try This • Solve . Check your solution. • Square each side. • Solve.

  17. Try This • Solve . Check your solution. • Square each side. • Solve. • Check.

  18. Try This • Solve . Check your solution. • Square each side. • Solve. • On the calculator:

  19. Example 3

  20. Example 3

  21. Example 3

  22. Try This • Solve . Check your solution.

  23. Try This • Solve . Check your solution. • Square both sides. • Solve.

  24. Try This • Solve . Check your solution. • Square both sides. • Solve. • Check.

  25. Example 4

  26. Example 4

  27. Example 5

  28. Example 5

  29. Example 5

  30. Example 6

  31. Example 6

  32. Example 6

  33. Try This • Solve . Check you solution.

  34. Try This • Solve . Check you solution.

  35. Try This • Solve . Check you solution.

  36. Try This • Solve . Check you solution.

  37. Try This • Solve . Check you solution.

  38. Example 7

  39. Example 7

  40. Try This • Solve by graphing. Give the solution to the nearest tenth.

  41. Try This • Solve by graphing. Give the solution to the nearest tenth. • Where is the line below the curve?

  42. Homework • Page 542 • 11-43 every 4th problem

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