Simplifying Square Roots with Negative Numbers
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Remember:
 The Imaginary Unit is defined as

i = .

Consider: 
     

 

Whenever there is a negative under the radical sign, it comes out from underneath as i since the problem will contain a square root of -1.

When simplifying these radical numbers in terms of i, follow the usual rules for simplifying radicals and treat the i with the rules for working with a variable. 

                 

Examples:

 

 Problem

Solution

bi Form

1.

6i

2.

14i

3.

 




 

4.


             



                       

 

Check out how to use your TI-83+/84+ graphing calculator with negative radicals.
Click here.