Найти частное квадратных корней 192 и 75.

Частное корней указанных чисел равно:

√192 / √75 = √ (12 ⋅ 16) / √ (3 ⋅ 25) = (√12 ⋅ √16) / (√3 ⋅ √25) = (√ (4 ⋅ 3) ⋅ √16) / (√3 ⋅ √25) =

= (√4 ⋅ √3 ⋅ √16) / (√3 ⋅ √25) = (2 ⋅ √3 ⋅ 4) / (√3 ⋅ 5) = (2 ⋅ 4) / 5 = 8 / 5 = 16 / 10 = 1,6.

Ответ: √192 / √75 = 1,6.