问题描述: 已知n>0,化简根号下1+ 1/n²+ 1/(n+1)²答出来加悬赏 1个回答 分类:综合 2014-10-01 问题解答: 我来补答 (n+1)²+n²+n²(n+1)²=(n+1)²-2n(n+1)+n²+2n(n+1)+n²(n+1)²=[(n+1)-n]²+2n(n+1)+n²(n+1)²=1+2n(n+1)+n²(n+1)²=(1+n+n²)²通分原式=√{[(n+1)²+n²+n²(n+1)²]/n²(n+1)²}=√[(1+n+n²)²/n²(n+1)²]=(1+n+n²)/(n+n²) 展开全文阅读