Please provide a detailed solution to the following problem:
Let p be an odd prime and a such that (a, p) = 1. Show that the equation
x^2 = a (mod p^i)
has a solution for all i if it has a solution for i = 1. How many solutions are there?© BrainMass Inc. brainmass.com October 9, 2019, 11:09 pm ad1c9bdddf
This provides a proof for a given congruence problem.