\[\boxed{\mathbf{573\ (573).\ }Еуроки\ - \ ДЗ\ без\ мороки}\]
\[\sqrt{2} \cdot \sqrt{2 + \sqrt{2}} \cdot \sqrt{4 - 2 - \sqrt{2}} = 2\]
\[\sqrt{2} \cdot \sqrt{2 + \sqrt{2}} \cdot \sqrt{2 - \sqrt{2}} = 2\]
\[\sqrt{2} \cdot \sqrt{\left( 2 + \sqrt{2} \right)\left( 2 - \sqrt{2} \right)} = 2\]
\[\sqrt{2} \cdot \sqrt{2} = 2\]
\[2 = 2.\]