Solve the Problem $d$ , That a Spring Is Compressed from Its Natural, Uncompressed

Solve the problem.
-The number of centimeters, $d$ , that a spring is compressed from its natural, uncompressed position is given by the formula $\mathrm { d } = \sqrt { \frac { 2 W } { k } }$ , where $W$ is the number of joules of work done to move the spring and $k$ is the spring constant. Solve this equation for W. Use the result to determine the work needed to move a spring 8 centimeters if it has a spring constant of $0.6$ .

A) $W = \frac { 2 \mathrm {~d} ^ { 2 } } { \mathrm { k } } ; 213.3$ joules
B) $W = \frac { \mathrm { d } ^ { 2 } \mathrm { k } } { 2 } ; 19.2$ joules
C) $W = \frac { \mathrm { d } ^ { 2 } \mathrm { k } ^ { 2 } } { 4 } ; 5.8$ joules
D) $W = 2 \mathrm {~d} ^ { 2 } \mathrm { k } ; 76.8$ joules