题目内容：

11×12×13×14+1的算术平方根是多少?

优质解答

n{n+1}{n+2}{n+3}+1
=n(n+3)(n+1)(n+2)+1
=(n^2+3n)(n^2+3n+2)+1
=(n^2+3n)^2+2(n^2+3n)+1
=(n^2+3n+1)^2
所以,11×12×13×14+1的算术平方根为11^2+33+1=155