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Lsn 4­4: Group Work
                            Roots
Even Roots:  The number under the radical must be positive.
             The answer must be positive.

   examples:


Odd Roots:   The odd root of a positive number is positive.
             The odd root of a negative number is negative.

   examples:

Find each root:




                      .03                              10




                   5                                   ­1


                      ­4                                 10x


                      5                                 ­2


                  1




                                                               1
Roots of Equations

               have 2 real roots.         examples:

              have 1 real root.



Solve each equation:




                             9. Find the Perimeter:
            x=2




            y=10

                                     10. If             find x.
            x=­4
                                                 x=20




   8)  The volume of a cube is 125 cu. cm. 
   Find the length of an edge.




                                                                  2
Simplifying Radicals




                       3
Examples:  Simplify Completely
1.




2.




3.




4.




5.




                                      4
6.
      10.




7.
      11.




8.     12.




      13.
 9.




             5

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Algebra2 Notes 2 1

  • 1. Lsn 4­4: Group Work Roots Even Roots:  The number under the radical must be positive. The answer must be positive. examples: Odd Roots:   The odd root of a positive number is positive. The odd root of a negative number is negative. examples: Find each root: .03 10 5 ­1 ­4 10x 5 ­2 1 1
  • 2. Roots of Equations have 2 real roots. examples: have 1 real root. Solve each equation: 9. Find the Perimeter: x=2 y=10 10. If  find x. x=­4 x=20 8)  The volume of a cube is 125 cu. cm.  Find the length of an edge. 2
  • 5. 6. 10. 7. 11. 8. 12. 13. 9. 5