1. Worksheet Key
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6.2: Square Root Graphs

2. Worksheet Key
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6.2: Square Root Graphs

3. Worksheet Key
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6.2: Square Root Graphs

4. 6.6 - Solving Radical Equations
Worksheet KEY
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6.6 - Solving Radical Equations

5. 6.6 - Solving Radical Equations
Worksheet KEY
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6.6 - Solving Radical Equations

6. Solving Radical Equations
Section 6.6
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6.6 - Solving Radical Equations

7. 6.6 - Solving Radical Equations
Steps
The opposite of a squared number is taking the SQUARE ROOT.
The opposite of a square root is taking the SQUARING THE NUMBER.
The opposite of a cubed number is taking the CUBE ROOT.
EXTRANEOUS solutions represents a solution that works when solving the problem but is not a valid solution to the original problem. 
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6.6 - Solving Radical Equations

8. What get rid of the square root? 6.6 - Solving Radical Equations
Example 1
Solve
What get rid of the square root?
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6.6 - Solving Radical Equations

9. 6.6 - Solving Radical Equations
Your Turn
Solve
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6.6 - Solving Radical Equations

10. 6.6 - Solving Radical Equations
Example 2
Solve
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6.6 - Solving Radical Equations

11. 6.6 - Solving Radical Equations
Example 2
Solve
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6.6 - Solving Radical Equations

12. 6.6 - Solving Radical Equations
Example 3
Solve
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6.6 - Solving Radical Equations

13. 6.6 - Solving Radical Equations
Your Turn
Solve
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6.6 - Solving Radical Equations

14. 6.6 - Solving Radical Equations
Example 4
Solve
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6.6 - Solving Radical Equations

15. 6.6 - Solving Radical Equations
Your Turn
Solve
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6.6 - Solving Radical Equations

16. 6.6 - Solving Radical Equations
Example 5
Solve
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6.6 - Solving Radical Equations

17. 6.6 - Solving Radical Equations
Example 5
Solve
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6.6 - Solving Radical Equations

18. 6.6 - Solving Radical Equations
Example 6
Solve
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6.6 - Solving Radical Equations

19. 6.6 - Solving Radical Equations
Example 7
Solve
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6.6 - Solving Radical Equations

20. 6.6 - Solving Radical Equations
Example 7
Solve
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6.6 - Solving Radical Equations

21. 6.6 - Solving Radical Equations
Your Turn
Solve
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6.6 - Solving Radical Equations

22. 6.6 - Solving Radical Equations
Example 8
Solve
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6.6 - Solving Radical Equations

23. 6.6 - Solving Radical Equations
Example 8
Solve
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6.6 - Solving Radical Equations

24. 6.6 - Solving Radical Equations
Example 8
Solve
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6.6 - Solving Radical Equations

25. 6.6 - Solving Radical Equations
Example 9
Solve
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6.6 - Solving Radical Equations

26. 6.6 - Solving Radical Equations
Your Turn
Solve
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6.6 - Solving Radical Equations

27. 6.6 - Solving Radical Equations
Example 10
The speed s in miles per hour that a car is traveling when it goes into a skid can be estimated by using the formula s = where f is the coefficient of friction and d is the length of the skid marks in feet. 30 fd
A car skids to a stop on a street with a speed limit of 30 mi/h. The skid marks measure 35 ft, and the coefficient of friction was Was the car speeding? Explain.
Substitute 30 for s and 0.7 for f.
Simplify.
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6.6 - Solving Radical Equations

28. 6.6 - Solving Radical Equations
Example 10
The speed s in miles per hour that a car is traveling when it goes into a skid can be estimated by using the formula s = where f is the coefficient of friction and d is the length of the skid marks in feet.
A car skids to a stop on a street with a speed limit of 30 mi/h. The skid marks measure 35 ft, and the coefficient of friction was Was the car speeding? Explain. 30 fd
Substitute 30 for s and 0.7 for f.
Simplify.
Square both sides.
900 = 21d
Simplify.
43 ≈ d
Solve for d.
If the car were traveling 30 mi/h, its skid marks would have measured about 43 ft. Because the actual skid marks measure less than 43 ft, the car was not speeding.
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6.6 - Solving Radical Equations

29. 6.6 - Solving Radical Equations
Example 11
Solve
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6.6 - Solving Radical Equations

30. 6.6 - Solving Radical Equations
Example 11
Solve
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6.6 - Solving Radical Equations

31. 6.6 - Solving Radical Equations
Example 11
Solve
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6.6 - Solving Radical Equations

32. 6.6 - Solving Radical Equations
Example 12
Solve
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6.6 - Solving Radical Equations

33. 6.6 - Solving Radical Equations
Example 12
Solve
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6.6 - Solving Radical Equations

34. 6.6 - Solving Radical Equations
Example 12
Solve
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6.6 - Solving Radical Equations

35. 6.6 - Solving Radical Equations
Your Turn
Solve
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6.6 - Solving Radical Equations

36. 6.6 - Solving Radical Equations
Assignment
Worksheet
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6.6 - Solving Radical Equations