KöMaL 2016 B4831

We have a ,,pocket calculator'' that can only be used for addition, subtraction and taking the reciprocal of a number. Starting with the number $\sqrt{20}+16$, is it possible to get 1 as a result? (During the calculation, we can store the original number, as well as any intermediate result in separate memory caches, and we may access them as many times as we wish.)