5.04  Multiplying Square Roots

Basic Algebra: One Step at a TimePage 420-430   #25, 54, 60, 62, 64, 66, 70, 78,

                                                                                    Extra Problem.

 

Dr. Robert J. Rapalje

Seminole Community College

Sanford, FL  32773

 

To see Section 5.04, with detailed explanations, examples, exercises, and answers, click here!

 

p. 422:

   25.             

You have a product of two numbers times the product of two more numbers.  This is actually the product of four numbers.  You may multiply these numbers in any order you wish.  It will be helpful to multiply the numbers that are OUTSIDE the square root and keep them OUTSIDE the square root, then multiply the numbers that are INSIDE the square root, and keep them INSIDE the square root.   

                       

                            

Now, simplify the square root (if possible)!

                       

                       

                       

No Extra Charge:  Why not check your answer with your calculator!!

Calculate the problem: 

Calculate the answer:     

 

Product of Binomials:       “F   OI   L

p. 427:                                                           F       O      I       L

   54.                      =     

                                           =      

           If radicals can be simplified, make two separate radicals for the radicals above:

                                                                            =     

           Place the perfect square in the first radical:.

                                                                             =   

            Place the other factor that is “left-over” in the second radical.

                                                                             =    

            Take square roots of the perfect squares:

                                                                              =    

            There are no like terms, so this is the final answer.:

                       

p. 428:                                                                     F         O         I         L

 60.                =

                                              =

                                                                           = 

                                                                           =                                                              

Can you do the calculator check?

                               =                                      

     

                                                                                   F        O        I         L

 62.                  =    

                                           =        

                                                                           =           

                                                                           =              

            There are no like terms, so this is the final answer. 

Don’t even think about combining the   132 and the 60 !!  They are NOT like terms!!

                       

                                                                                        

   F       O         I        L

 64.         =      

                                        = 

                                                                      =      

                                                                      =         

             Calculator check:              =  373.3769618

                                                        =  373.3769618

           

 

                                                                                      F        O        I         L

 66.                =   

                                          =  

                                                                         =    

                                                                         =     

                                                                         =     

             Calculator check:              =  29.92684015

                                                                             =  29.92684015

 

p. 429:                                                       F      O      I     L

 70.        

         =  

                                 =  

                                                          =  

                                                          =  

                                                          =    

             Calculator check:       =  0.5147

                                                          =  0.5147

 

                                                                            F         O         I         L

 78.        

         =  

                                        =        

                                                                      =        

                                                                      =        

                                                                      =        

             Calculator check:       =  80.50776

                                                        =  80.50776

 

Extra Problem by Huossam from ______

   F     O    I     L

                          =        

                                        =         

Calculator check:                  =  −0.1316524976

                                                 =   −0.1316524976

           

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Dr. Robert J. Rapalje Altamonte Springs Campus
Contact me at:   rapaljer@scc-fl.edu
Phone number:  NONE Retired!!
OFFICE:          NONE  
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