[tex]\frac{1}{2}A> \frac{1}{\sqrt{1}+\sqrt{2}}+\frac{1}{\sqrt{2}+\sqrt{3}}+..+\frac{1}{\sqrt{35}+\sqrt{36}}\\\doteq \sqrt{2}-\sqrt{1}+\sqrt{3}-\sqrt{2}+...+[COLOR=#ff0000]\sqrt{35}[/COLOR]-\sqrt{35}=[COLOR=#ff0000]\sqrt{35}[/COLOR]-1=5\Rightarrow A>10[/tex]