An Equation of the Tangent Plane to the Surface $\sqrt { x } + \sqrt { y } + \sqrt { z } = 4$

Multiple Choice

An equation of the tangent plane to the surface $\sqrt { x } + \sqrt { y } + \sqrt { z } = 4$ at (1, 1, 4) is

A) $2 x - 2 y + z = 8$
B) $2 x + 2 y + z = 8$
C) $2 x + 2 y - z = 8$
D) $2 x - 2 y - z = 8$
E) $- 2 x + 2 y + z = 8$