Let $\mathbb{Z}_{p}$ denote the ring of $p$- adic numbers.
- How can I prove that every elements of $1+8\cdot \mathbb{Z}_{2}$ is a square.
I am not comfortable in working $\mathbb{Z}_{p}$'s. So a detailed solution would be of great help and I would learn in future as to how to deal with such problems.
Thanks.