[m]=(\frac{2}{\sqrt{a}-\sqrt{b}}-\frac{2\sqrt{a}}{(\sqrt{a}+\sqrt{b})(a - \sqrt{ab} + b)} \cdot \frac{a - \sqrt{ab} + b}{\sqrt{a}-\sqrt{b}}) \cdot \frac{a-b}{\sqrt{ab}} =[/m]
[m]=(\frac{2(\sqrt{a}+\sqrt{b})}{(\sqrt{a}-\sqrt{b})(\sqrt{a}+\sqrt{b})} - \frac{2\sqrt{a}}{\sqrt{a}+\sqrt{b}} \cdot \frac{1}{\sqrt{a}-\sqrt{b}}) \cdot \frac{a-b}{\sqrt{ab}}=[/m]
[m]=(\frac{2(\sqrt{a}+\sqrt{b})}{(\sqrt{a}-\sqrt{b})(\sqrt{a}+\sqrt{b})} - \frac{2\sqrt{a}}{(\sqrt{a}+\sqrt{b})(\sqrt{a}-\sqrt{b})}) \cdot \frac{a-b}{\sqrt{ab}}= [/m]
[m]= \frac{2\sqrt{a}+2\sqrt{b} - 2\sqrt{a}}{(\sqrt{a}-\sqrt{b})(\sqrt{a}+\sqrt{b})} \cdot \frac{a-b}{\sqrt{ab}} = \frac{2\sqrt{b}}{a-b} \cdot \frac{a-b}{\sqrt{ab}} = \frac{2\sqrt{b}}{\sqrt{ab}} = \frac{2}{\sqrt{a}}[/m]
При а = 0,01 получится:
[m]\frac{2}{\sqrt{0,01}} = \frac{2}{0,1} = 2 \cdot 10 = 20[/m]