Find value of sqrt(2 - sqrt(2 - sqrt(2 - sqrt(2 - $\dots$)))) + sqrt(2 + sqrt(2 + sqrt(2 + sqrt(2 + $\dots$))))

Step 1 (Evaluate First Term): Let the first nested radical expression be $A$:

Since the radical is infinite, we can substitute $A$ inside the outer root:

Step 2 (Evaluate Second Term): Let the second nested radical expression be $B$:

Similarly, substitute $B$ inside the outer root:

Step 3 (Calculate Sum): We add the two values:

Step 4 (Conclusion): The value of the expression is exactly 3.