1. The problem statement, all variables and given/known data Let nεZ>0. Prove that: Ʃ1/√(i) ≥ √(n) 3. The attempt at a solution I'm not sure where to begin, this feels like it should be an induction problem, but I'm not sure how to show that √(n) + 1/√(i+1) ≥ √(n+1). There doesn't seem to be any obvious algebra that would simplify this into what I need it to be.