  In this study, we present an exact dirty/hairy black hole solution in the
context of gravity coupled minimally to a nonlinear electrodynamic (NED) and a
Dilaton field. The NED model is known in the literature as the square-root (SR)
model i.e., $\mathcal{L}\sim \sqrt{-\mathcal{F}}.$ The black hole solution
which is supported by a uniform radial electric field and a singular Dilaton
scalar field is non-asymptotically flat and singular with the singularity
located at its center. An appropriate transformation results in an interesting
line element $ds^{2}=-\left( 1-\frac{2M}{\rho ^{\eta ^{2}}} \right) \rho
^{2\left( \eta ^{2}-1\right) }d\tau ^{2}+\left( 1-\frac{2M}{ \rho ^{\eta
^{2}}}\right) ^{-1}d\rho ^{2}+\varkappa ^{2}\rho ^{2}d\Omega ^{2} $ with two
parameters - namely the mass $M$ and the Dilaton parameter $ \eta ^{2}>1$
($\varkappa ^{2}=\frac{1}{\eta ^{2}}$) - which may be simply considered as the
dirty Schwarzschild black hole. This is because with $\eta ^{2}\rightarrow 1$
the spacetime reduces to the Schwarzschild black hole. We show that although
the causal structure of the above spacetime is similar to the Schwarzschild
black hole, it is thermally stable for $\eta ^{2}>2$. Furthermore, the tidal
force of this black hole behaves the same as a Schwarzschild black hole,
however, its magnitude depends on $\eta ^{2}$\ such that its minimum is not
corresponding to $\eta ^{2}=1$\ (Schwarzschild limit).
