  In the present work, we search the simplest cosmological model in $f(R,T)$
gravity by considering its functional form $f(R,T) = R + \xi R T$ with $\xi$
being positive constant. We have constructed the Einstein's field equation in
$f(R,T)$ gravity for homogeneous and isotropic space time. The explicit
solution of the constructed model is obtained by considering the scale factor
as $a = \alpha t^{\beta}$ with $\alpha$ and $\beta$ being free parameters. The
values of $\alpha$ and $\beta$ are obtained by using Markov Chain Monte Carlo
(MCMC) method to constraining the model under consideration with observational
$H(z)$ data. Some physical and kinematic properties of the model are also
discussed.
