In How do you simplify the addition of square root, it has been pointed out that it cannot be simplified any further.
As obvious as it seems, the following questions seemed need to be addressed:
What is meant by a simpler form? As matter of fact, what determines what is simpler with respect to something else?
Suppose we bypass 1, and we all agree that we can decide a simpler form between given any two forms. How do we justify that something is in its simplest form (i.e. it has reached the simplest form and no further simplification can be performed.)?