3 = √x + √y + √z, 3 = x√x + y√y + z√z, 3 = x^{2}√x + y^{2}√y + z^{2}√z.

3 + 3 - 2(3) = (1 + x^{2} - 2x)√x + (1 + y^{2} - 2y)√y + (1 + z^{2} - 2z)√z or (x - 1)^{2}√x + (y - 1)^{2}√y + (z - 1)^{2}√z = 0

(x - 1)^{2}√x = (y - 1)^{2}√y = (z - 1)^{2}√z = 0

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