QUESTION $3$

The minimum distance from the point $(-1,-1,0)$ to the surface $z=\sqrt[\phantom{2}]{1-2x-2y}$ is equal to $($Hint: To simplify the computations, minimize the square of the distance$).$

a$.3\sqrt[\phantom{2}]{2}$

b$.2\sqrt[\phantom{2}]{3}$

c$.\frac{\sqrt[\phantom{2}]{3}}{2}$

d$.\sqrt[\phantom{2}]{2}$

e$.\sqrt[\phantom{2}]{3}$