How do we simplify radical expressions?

           Radicals are by far the scariest looking thing ever. Seriously I mean look at this for example, √18x⁵y⁴z . How the heck do you solve that? Well I'm here to help you. Lets take this one step at a time. First step ignore the radical it makes your life easier. Even though 18 is not a perfect square, it can be broken down into smaller pieces where one of those pieces might be perfect square. From 18 we can say 9 and 2 multiply to give you 18 and 9 is a perfect square. From x⁵ we get x⁴ and x. We leave y⁴ alone because its already "perfect" . And z is all alone so it just stays z. 
       So now under the Radical we have √9•2•x⁴•x•y⁴•z. Now we begin to just pull out the perfect parts we take out nine and that turns into a 3 outside of the radical. We can't do anything with two so it stays inside. x⁴ comes out as x² and the single x stays inside. With y⁴ we bring it out and it turns into y² with no y's inside. Lastly x was all alone and it remains that way inside the radical. 

        Now we just take our perfect outside piece, 3x²y² and combine it with what stayed in our radical √2xz and our final answer is 3x²y²√2xz. Suddenly simplifying these radicals seems like a breeze! All we did was this:                   

           Not that hard huh?