5√3 ⋅ √50 ⋅ 2√24 = 5√3 ⋅ √(25 ⋅ 2) ⋅ 2√(4 ⋅ 6) = 5√3 ⋅ 5√2 ⋅ 2 ⋅ 2√6 = 5√3 ⋅ 5√2 ⋅ 4√6 = 25√3 ⋅ 4√(2 ⋅ 6) = 100√3 ⋅ √12 = 100√3 ⋅ √(4 ⋅ 3) = 100√3 ⋅ 2√3 = 200 ⋅ 3 = 600
Ответ: 600