#3root(3)(2)+5root(3)(16)# needs to be simplified in order to add.In order to add radicals, index and radicand(inside the radical) need to be the same.
Here is how you add the expression: #3root(3)(2)+5root(3)(16)=# #3root(3)(2)+5root(3)(8*2)=# #3root(3)(2)+5(root(3)(8)*root(3)(2))=# #3root(3)(2)+5*2*root(3)(2)=# #3root(3)(2)+10root(3)(2)=# #13root(3)(2)#