how do we multiply and divide radical expression

multiplying and dividing radical expressions can be a challenge but here are two methods that may be very useful.lets multiply first. example 1. √3(√10*√5)

1. √3(√11*√6) we must distribute  √3 to the other two numbers we will get
     √33*√18
2. we and √33*√18 and get √594
3. we got to simplify the radical expression √594 in two numbers...
   I chose √9, √66
4. the same thing to both √9 and √66
   9 is a perfect square  so it will just turn in to 3
   66 is spited in to 6 and 11 
5. we could split 6 in to 2,3 but their is no perfect square her so we could just leave it as √66
6. at the end we are felted with 3√66 as a simplified number 

 Next we will divide √12 / √3

1. we can rewrite this scary looking √12 / √3 in to √12/3 that looks a lot less scary
2. we just divide 12/3 and get √4 the 4 is a perfect square so we still have to simply it
3. and end up with 2 as our final answer  

the numbers that are perfect squares are
√4 √9 √16 √25 √36 √49 √64 etc.
 2  3  4   5   6   7   8 etc.
 
so for more help check out the links below:

• http://www.youtube.com/watch?v=w4r8jjUfouU
• http://www.youtube.com/watch?v=YWtw-pWFGvE
• http://www.purplemath.com/modules/radicals4.htm