Beginning at the right, the radicands are conjugates. Keep simplifying.
Maybe some day I'll be a scholar and I'll remember this problem and fix it. Until then the wrongly posted problem gives some decimal solution and the correct problem gives the nice anwer everyone wants it to be (2).
The reason the problem ended up wrong was that in the queue we tried fixing the radical symbols about 10 times and every time I changed something else they would all revert to gobbledy-gook. I changed around the negatives and positives so many times I got confused and by the time the problem was posted it came out wrong.