I have an exercise in microeconomics that exhibits the following function Y = L^(1/2) * (W^(1/2) + K^(1/2))
With L = labor, K = capital, W = water
In a first question, we are asked to find what the returns to scale are for this function and I found that this function has constant returns to scale. In fact, multiplying all the inputs by t (with t>1), we get that it is equivalent to multiplying the whole production function by t.
However, in the second question, we assume that the level of water is fixed to the level Wf. I understand that now the function only depends on K and L so I tried to multiply K and L by t, but I can't simplify the function with respect to the factor t.
I am stuck at the following expression : t^(1/2)*L^(1/2)Wf^(1/2) + tL^(1/2)*K^(1/2).
I hope my question is not too confused and I thank anyone who tries to help me :)