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Warm Up

Warm Up. Simplify each expression: 1. Convert into radical expression and simplify 2. Convert into rational exponent and simplify 3. Simplify. Pg 615. Solving Rational Equations. Section 8-8. Review and Steps. The opposite:

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Warm Up

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  1. Warm Up Simplify each expression: 1. Convert into radical expression and simplify 2. Convert into rational exponent and simplify 3. Simplify 8.8 - Solving Radical Equations

  2. Pg 615 8.8 - Solving Radical Equations

  3. Solving Rational Equations Section 8-8 8.8 - Solving Radical Equations

  4. Review and Steps • The opposite: • The opposite of square root is squared • The opposite of squared number is square root • The opposite of cube root is cubed • Etc… • Steps: • Move like terms on one side and numbers on other side, if possible • Get rid of the radical by using the opposite or vice versa • Solve for the variable • Check your answer by plugging it in 8.8 - Solving Radical Equations

  5. Example 1 Solve What get rids of the square root? 8.8 - Solving Radical Equations

  6. Example 2 Solve What get rids of the square root? 8.8 - Solving Radical Equations

  7. Example 3 Solve 8.8 - Solving Radical Equations

  8. Your Turn Solve 8.8 - Solving Radical Equations

  9. Example 4 Solve 8.8 - Solving Radical Equations

  10. Example 5 Solve 8.8 - Solving Radical Equations

  11. Example 6 Solve 8.8 - Solving Radical Equations

  12. Your Turn Solve 8.8 - Solving Radical Equations

  13. Example 7 Solve 8.8 - Solving Radical Equations

  14. Nth Roots • M is the power (exponent) • N is the root • A is the base 8.8 - Solving Radical Equations

  15. Example 8 Solve 8.8 - Solving Radical Equations

  16. Example 8 – Another Way Solve 8.8 - Solving Radical Equations

  17. Example 9 Solve 8.8 - Solving Radical Equations

  18. Your Turn Solve 8.8 - Solving Radical Equations

  19. Example 10 Solve 8.8 - Solving Radical Equations

  20. Example 11 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 0.7. Was the car speeding? Explain. Substitute 30 for s and 0.7 for f. Simplify. 8.8 - Solving Radical Equations

  21. Example 11 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 0.7. 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. 8.8 - Solving Radical Equations

  22. Assignment Worksheet 8.8 - Solving Radical Equations

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