Question 153
Compare two numbers:
$$
\sqrt{2008 + \sqrt{2009}} + \sqrt{2009 + \sqrt{2008}} \text{ and } \sqrt{2008 + \sqrt{2008}} + \sqrt{2009 + \sqrt{2009}}
$$
$$
\sqrt{2008 + \sqrt{2009}} + \sqrt{2009 + \sqrt{2008}} \text{ and } \sqrt{2008 + \sqrt{2008}} + \sqrt{2009 + \sqrt{2009}}
$$