In this paper, using the Brzd?k’s fixed point theorem [9, Theorem 1] in non-Archimedean (2,

*β*)-Banach spaces, we prove some stability and hyperstability results for an

*p*-th root functional equation

where

*p* ∈ {1, …, 5},

*a*_{1}, …,

*a*_{k} are fixed nonzero reals when

*p* ∈ {1, 3, 5} and are fixed positive reals when

*p* ∈ {2, 4}.