Hey there! So because this is to many question rolled in one, Im only going to be answering your simplify questions.
Starting with
1: [tex] \frac{2}{5} \sqrt{5} [/tex]
2: [tex]44 \sqrt{7} [/tex]
3: [tex]8 \sqrt{17} [/tex]
4: [tex]2+2 \sqrt{3} [/tex]
So i solved this by using our square root functions. For if you didn't know, the square root symbol is this: √
Hope this helps!