Тип 17 № 7251 Выполните действия с радикалами \(\sqrt{0.04} - (\sqrt{7} - \sqrt{2})(\sqrt{8} + \sqrt{7})\).

\[\sqrt{0.04} - (\sqrt{7} - \sqrt{2})(\sqrt{8} + \sqrt{7}) = 0.2 - (\sqrt{56} + 7 - 4 - \sqrt{14}) = 0.2 - (2\sqrt{14} + 3 - \sqrt{14}) = 0.2 - (\sqrt{14} + 3) = 0.2 - \sqrt{14} - 3 = -2.8 - \sqrt{14}\] \[\sqrt{0.04} = 0.2\] \[(\sqrt{7} - \sqrt{2})(\sqrt{8} + \sqrt{7}) = \sqrt{56} + 7 - \sqrt{16} - \sqrt{14} = 2\sqrt{14} + 7 - 2\sqrt{2}*\sqrt{2} - \sqrt{14}\] \[2\sqrt{14} + 7 - \sqrt{16} - \sqrt{14} = \sqrt{14} + 7 - 4 = \sqrt{14} + 3\] \[0.2 - (\sqrt{14} + 3) = 0.2 - \sqrt{14} - 3 = -2.8 - \sqrt{14}\] Ответ: **-2.8 - \sqrt{14}**