Can you make it larger?

Calculus Level 3

$\frac { 1 }{ \sqrt { 2 } } +\frac { 1 }{ \sqrt { 3 } } + \frac 1 {\sqrt 4} + \ldots +\frac { 1 }{ \sqrt { 10000 } }$

What is the greatest positive integer less than equals to the number above?