17. Тип 17 № 7265: Упростите числовое выражение $$\sqrt{(40\sqrt{2}-57)^2} - \sqrt{(40\sqrt{2}+57)^2}$$.

$$\sqrt{(40\sqrt{2}-57)^2} - \sqrt{(40\sqrt{2}+57)^2} = |40\sqrt{2}-57| - |40\sqrt{2}+57|$$ $$40\sqrt{2} \approx 40 * 1.41 = 56.4$$ $$40\sqrt{2}-57 < 0$$ $$40\sqrt{2}+57 > 0$$ $$|40\sqrt{2}-57| = 57 - 40\sqrt{2}$$ $$|40\sqrt{2}+57| = 40\sqrt{2}+57$$ $$57 - 40\sqrt{2} - (40\sqrt{2}+57) = 57 - 40\sqrt{2} - 40\sqrt{2} - 57 = -80\sqrt{2}$$ Ответ: $$-80\sqrt{2}$$