How do we simplify radical

simplifying radicals isn't that hard if you know your square root s and our x^2. I'll give you guys an example simplify the square root of 72. we can use my favorite method the factor tree method it is simple and easy.

1. first we got to find two factors that multiply to 72...
   my two factors are 9,8 
2. we do the same with 8,9
   we split 8 in 2,4
   and we split 9 in 3,3
3. we do this one more time to the 4 because we want to have all prime numbers and we get two 2 
4. now we list our prime numbers to make it easier
   72: 3,3,2,2,2
5. we have two pairs of numbers which are the 3's and 2's and we are left with one 2 now we have the square root 3^2 , the square root of 2^2 and the square root of 2 
6. we simplify the 3^2 and 2^2and get  3*2to the square root of 2
   which is simplify to 6 square root of 2

if I confused you or you just want  more help check out the links below:

• http://www.youtube.com/watch?v=PXdYQqjHAuE
• http://www.themathpage.com/alg/simplify-radicals.htm