Solve the Problem $y = \sqrt { x }$ Come to the Point

Multiple Choice

Solve the problem.
-How close does the curve $y = \sqrt { x }$ come to the point $( 3,0 )$ ? (Hint: If you minimize the square of the distance, you can avoid square roots.)

A) The distance is minimized when $x = 2$ ; the minimum distance is 3 units.
B) The distance is minimized when $x = - \frac { 1 } { 3 }$ ; the minimum distance is $\sqrt { \frac { 11 } { 4 } }$ units.
C) The distance is minimized when $x = \frac { 5 } { 2 }$ ; the minimum distance is $\sqrt { \frac { 11 } { 4 } }$ units.
D) The distance is minimized when $x = 5$ ; the minimum distance is 3 units.