1. Simplifying Radicals - The first type of radicals discussed in this course are square roots . Later methods for simplifying cube roots will be discussed. Often it is best to convert the radicand into prime factors when simplifying a radical :

2. Adding and subtracting radicals - Please note that only similar radicals can be combined when adding or subtracting terms involving radicals . Examples of similar radicals include ,,. Addition of these radicals is performed as follows :

+  +  = 

The method is the same for subtraction:

-  = 

The next example involves a mixture of similar and non- similar radicals :

+  +  +  =  + 
 
 

3. Multiplying radicals - Radicals are multiplied in the following way when they have the same root: 

For example 
 
 

4. Division of radicals: When two radicals have the same root -

>>>>>Example : 
 
 

5. Putting it all together:.................................

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