[tex]a = \frac{2}{\sqrt{2}}+1 = \frac{\sqrt{2}\cdot \sqrt{2}}{\sqrt{2}} + 1 = \sqrt{2} + 1\\b=\sqrt{(1-\sqrt{2})^2} = |1 - \sqrt{2}| = \sqrt{2}-1[/tex]
[tex]m_a = \frac{\sqrt{2}+1+\sqrt{2}-1}{2} = \frac{2\sqrt{2}}{2} = \sqrt{2}\\m_g = \sqrt{ab} = \sqrt{(\sqrt{2} + 1) (\sqrt{2} - 1)} = \sqrt{(\sqrt{2})^2 - 1^2} = \sqrt{2 - 1} = \sqrt{1} = 1[/tex]
