In order to determine the units of d, replace the units of the other parameters and simplify, as follow:
[tex]\sqrt[\placeholder{⬚}]{\frac{kgm^3s^{-2}}{(kg)(ms^{-2})}}[/tex]
Then, by simplying the previous expression you obtain:
[tex]\sqrt[\placeholder{⬚}]{m^2}=m[/tex]
Hence, the units of d are in meters (m)
