9. Вычислите: (2/3 ⋅ √45)² +15⋅√1 31/225+8(√2)²

(2/3 ⋅ √45)² + 15⋅√1 31/225 + 8(√2)² = (2/3 × √(9 × 5))² + 15 × √(256/225) + 8 × 2 = (2/3 × 3√5)² + 15 × 16/15 + 16 = (2√5)² + 16 + 16 = 4 × 5 + 32 = 20 + 32 = 52

Ответ: 52