# Math Help - Some items inequality can contain very difficult

1. ## An inequality that contains radical Sign

I hope you in the forum help me much because my English is very poor. I thank you much.
Given:
$a_{i}\in [1,2007]$and : i=1,2,..,2007 .Pove that:
$\large \sum\limits_{i=2}^{2006}\sqrt[i]{ \sum\limits_{i=1}^{2007}a_{i} ^{i}}<2005 \sqrt{2008 \sum\limits_{i=1}^{2007}a_{i} - 2007^{2}}$