If x, y, z are in arithmetic progression with common difference d, x ≠ 3d, and the determinant of the matrix \(\left[ {\begin{array}{*{20}{c}} 3&{4\sqrt 2 }&x\\ 4&{5\sqrt 2 }&y\\ 5&k&z \end{array}} \right]\) is zero, then the value of k2 is :
1
6
2
12
3
36
4
72