Школьник
Студент
Учитель
Личный кабинет
Назад
Вычисления
Банк ОГЭ
Скопировать ссылку
14adcda1
Найдите значение выражения
6
⋅
21
⋅
56
\sqrt{6}\cdot \sqrt{21}\cdot \sqrt{56}
6
⋅
21
⋅
56
Ответ:
Ответить
Показать ответ
Ответ
Скрыть решение
Решение
Сообщить об ошибке
Решение
6
⋅
21
⋅
56
=
2
⋅
3
⋅
3
⋅
7
⋅
8
⋅
7
=
2
⋅
3
⋅
3
⋅
7
⋅
2
⋅
2
⋅
7
=
2
⋅
(
2
⋅
2
)
⋅
(
3
⋅
3
)
⋅
(
7
⋅
7
)
=
2
⋅
2
⋅
3
⋅
7
=
84
\begin{aligned}
{}& \sqrt{6}\cdot \sqrt{21}\cdot \sqrt{56} = \sqrt{2\cdot 3}\cdot \sqrt{3\cdot 7}\cdot \sqrt{8\cdot 7} = \\
& \sqrt{2}\cdot \sqrt{3}\cdot \sqrt{3}\cdot \sqrt{7}\cdot 2\cdot \sqrt{2}\cdot \sqrt{7} = \\
& 2\cdot (\sqrt{2}\cdot\sqrt{2})\cdot (\sqrt{3}\cdot\sqrt{3})\cdot (\sqrt{7}\cdot\sqrt{7}) = \\
& 2\cdot 2\cdot 3\cdot 7 = 84
\end{aligned}
6
⋅
21
⋅
56
=
2
⋅
3
⋅
3
⋅
7
⋅
8
⋅
7
=
2
⋅
3
⋅
3
⋅
7
⋅
2
⋅
2
⋅
7
=
2
⋅
(
2
⋅
2
)
⋅
(
3
⋅
3
)
⋅
(
7
⋅
7
)
=
2
⋅
2
⋅
3
⋅
7
=
84
Ответ:
84
84
84
.
