根号1+1/3= 2倍根号1/3,根号2+1/4=3倍根号1/4,根号3+5/1=4倍根号5/1 ,当(n≥1）时
问题描述：
根号1+1/3= 2倍根号1/3,根号2+1/4=3倍根号1/4,根号3+5/1=4倍根号5/1 ,当(n≥1）时
得到的规律 根号n+1/(n+2)=(n+1)根号1/(n+2)
请简要说明理由
答
根号n+1/(n+2)=根号（n^2+2n+1）/(n+2)=根号（n+1）^2/(n+2)
=(n+1)根号1/(n+2)