Hi there.
You can not use the sqlclient directly in the silverlight application. its only for client purpose. for that you need to use web services to acces the data layer. even i am not much more knowledge about that. but i am very much sure that we can not directly use. sql n all.
you try to add the reference in Silverlight application, you will get to know. it does not show the .net assembly, it only shows the silverlight assembly.
Regards,
Arshad