# Math Help - Closest integer

1. ## Closest integer

For which integer $\mbox{n}$ is $\frac{1}{n}$ closest to $\sqrt{1000000} - \sqrt{999999}$ ?

2. 2000

3. Could you please show working, without use of calculator.

4. $\sqrt{1000000}-\sqrt{999999}=\frac{1}{\sqrt{1000000}+\sqrt{999999 }}$

5. ta ma da cao