Школьник
Студент
Учитель
Личный кабинет
Назад
Вычисления
Банк ОГЭ
Скопировать ссылку
2881b949
Найдите значение выражения
12
⋅
50
⋅
24
\sqrt{12}\cdot \sqrt{50}\cdot \sqrt{24}
12
⋅
50
⋅
24
Ответ:
Ответить
Показать ответ
Ответ
Скрыть решение
Решение
Сообщить об ошибке
Решение
12
⋅
50
⋅
24
=
4
⋅
3
⋅
2
⋅
25
⋅
8
⋅
3
=
2
⋅
3
⋅
5
⋅
2
⋅
2
⋅
2
⋅
3
=
20
⋅
(
2
⋅
2
)
⋅
(
3
⋅
3
)
=
20
⋅
2
⋅
3
=
120
\begin{aligned}
{}& \sqrt{12}\cdot \sqrt{50}\cdot \sqrt{24} = \sqrt{4\cdot 3}\cdot \sqrt{2\cdot 25}\cdot \sqrt{8\cdot 3} = \\
& 2\cdot \sqrt{3}\cdot 5\cdot \sqrt{2}\cdot 2\cdot \sqrt{2}\cdot \sqrt{3} = \\
& 20\cdot (\sqrt{2}\cdot\sqrt{2})\cdot (\sqrt{3}\cdot\sqrt{3}) = \\
& 20\cdot 2\cdot 3 = 120
\end{aligned}
12
⋅
50
⋅
24
=
4
⋅
3
⋅
2
⋅
25
⋅
8
⋅
3
=
2
⋅
3
⋅
5
⋅
2
⋅
2
⋅
2
⋅
3
=
20
⋅
(
2
⋅
2
)
⋅
(
3
⋅
3
)
=
20
⋅
2
⋅
3
=
120
Ответ:
120
120
120
.
