The velocity of a particle depends on  time t according to the equation $v=\sqrt{ab}+bt+\frac{c}{d+t}$ . The physical quantities which are represented by a, b, c and d are in the following order

From principle of homogeneity all the terms on the right hand side must have the dimension of velocity

v=bt     b=v/t     b= acceleration =$L$${T^{-2}}^{ }$

v=  $\sqrt{ab}$   =$\sqrt{L{T}^{-2}a}$

$L{T}^{-1}=\sqrt{L{T}^{-2}a} a=L$

d must have a dimension of time and c/t is velocity which means c must have a dimension of  distance (L)