  This paper is a parametrization of the equation of state (EoS) parameter of
dark energy (DE), which is parameterized using Square-Root (SR) form i.e.
$\omega _{SR}=\text{$\omega _{0}$}+\text{$\omega
_{1}$}\frac{z}{\sqrt{z^{2}+1}}$, where $\omega _{0}$ and $\omega _{1}$ are free
constants. This parametrization will be examined in the context of the recently
suggested $f(Q)$ gravity theory as an alternative to General Relativity (GR),
in which gravitational effects are attributed to the non-metricity scalar $Q$
with the functional form $f(Q)=Q+\alpha Q^{n}$, where $\alpha$ and $n$ are
arbitrary constants. We derived observational constraints on model parameters
using the Hubble dataset with 31 data points and the Supernovae (SNe) dataset
from the Pantheon samples compilation dataset with 1048 data points. For the
current model, the evolution of the deceleration parameter, density parameter,
EoS for DE, and $Om(z)$ diagnostic have all been investigated. It has been
shown that the deceleration parameter favors the current accelerated expansion
phase. It has also been shown that the EoS parameter for DE has a quintessence
nature at this time.
