ai,bi>0,i=1,2,...,n,n∈N+,∑i=1nai=1a_i,b_i>0,i=1,2,...,n,n \in N^+,\sum_{i=1}^{n}a_i=1ai,bi>0,i=1,2,...,n,n∈N+,∑i=1nai=1
求证： ∑i=1naibi≥∑i=1naibi\sqrt{\sum_{i=1}^{n}a_ib_i} \ge \sum_{i=1}^{n}a_i\sqrt{b_i}∑i=1naibi≥∑i=1naibi
这道题大佬们能解答一下吗
