A simple string.Concat() is what you need.
string[] test = new string[2];
test[0] = "Hello ";
test[1] = "World!";
string result = string.Concat(test);
If you also need to add a seperator (space, comma etc) then, string.Join() should be used.
string[] test = new string[2];
test[0] = "Red";
test[1] = "Blue";
string result = string.Join(",", test);
If you have to perform this on a string array with hundereds of elements than string.Join() is better by performace point of view. Just give a "" (blank) argument as seperator. StringBuilder can also be used for sake of performance, but it will make code a bit longer.