(3√2-√4)² = (3√2 - 2)² = (3√2 - 2)(3√2 - 2) = 9*2 - 6√2 - 6√2 + 4 = 18 - 12√2 + 4 = 22 - 12√2
Теперь добавим 6√2:
(22 - 12√2) + 6√2 = 22 - 6√2
Итак, (3√2-√4)²+6√2 = 22 - 6√2.
(3√2-√4)² = (3√2 - 2)² = (3√2 - 2)(3√2 - 2) = 9*2 - 6√2 - 6√2 + 4 = 18 - 12√2 + 4 = 22 - 12√2
Теперь добавим 6√2:
(22 - 12√2) + 6√2 = 22 - 6√2
Итак, (3√2-√4)²+6√2 = 22 - 6√2.