  The paper proposes a polynomial formula for solution quadratic congruences in
$\mathbb{Z}_p$. This formula gives the correct answer for quadratic residue and
zeroes for quadratic nonresidue. The general form of the formula for $p=3
\;\rm{mod}\,4$, $p=5 \;\rm{mod}\,8$ and for $p=9 \;\rm{mod}\,16$ are suggested.
