Simplifying Square Roots With Negative Numbers

                    Lesson 1

                                                                                                                                                                          

                                                            Problem:                   Simplify: √-324

                                                            Solution                    The Imaginary Unit is defined as i = √-1.

                           Step 1:  

                     

                                                                                Solution                          √-324=√-1.√324

Step 2:                        

 

                                                                                Solution                           17i

                           Step 3:  

                                                                                                 

                                                             Solution                    The answer is:  17i

 Step 4:                                                                      

 Complete                                                                   

                                                                                                                               

                                                             Try two practice problems:  

 

                                                                                               Do the following:

 

A.

Simplify:  √-12

 

B.

Simplify in terms of i:

- √- 34

 

 

 

 

        

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