Is anyone good at simplifying radical expressions?

All you really have to do is find the prime factorization of the term.  And for every pair of like factors you can move that term outside of the radical sign (for square roots)  If you were doing cube roots you would need to find threesomes of factors... for example..

20^(1/2)

pf 20=2*2*5  so you have two twos so you can simplify to 2(5)^(1/2)

108^(1/3)

pf 108=2*2*3*3*3 so you have 3^3 so you can simplify to 3(4)^(1/3)