Simplify Square Roots With Negative Numbers

                    Lesson 1

                                                                                            

                                                           The imaginary unit is defined as, i=√-1

 

                                                            Whenever there is a negative sign inside the root it is written as:

 

                                                              √-a = √a X √-1 = √ai

 

                                                            Simplify the remaining part of the radical.

 

                                                            Problem:                   Simplify in terms of i

 

√-25

 

                                                            Solution                    √-25

                Step 1:  

                     

                                                                                Solution                          = √25 x √-1

Step 2:                        

 

                                                                                Solution                           = √25 x i

Step 3:           

             

                                                            Solution                    The answer is:  5i

 Step 3:                                                                      

 Complete                                                                   

                                                                                                                               

                                                             Try two practice problems:  

 

Evaluate the following;

 

A.

(1/2)√-36

B.

(1/7) √-49

 

 

        

 

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