formula 4d

Constructing a similar formula for a 4-Dimensional Space, the distance (D) between the coordinates $(x_1,y_1,z_1,a_1)$ and $(x_2,y_2,z_2,a_2)$ in 4-dimensional space is given by $$D=\sqrt {(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2+(a_2-a_1)^2}$$ Is this formula correct/applicable to 4-dimensional cartesian coordinate system? If yes, what is its . jaguar 4d result