In a calculation, I've come across a relation along the lines of this: $${a}^{1/2}+{b}^{1/2}$$
My presumption would be that this is somewhat related to the Pythagorean relation: $${a}^{2}+{b}^{2}$$
I can understand the Pythagorean relation, but not the importance of the square root relation. Is there a hidden geometric significance to the first relation, just as there is one for the Pythagorean formula?
Note: the other side of the equation in my calculations could be anything, it's not limited to ${c}^{1/2}$. Actually, in my calculations the full relation is: $${c}={d}^{1/2}\bigg[{a}^{1/2}+{b}^{1/2}\bigg]$$