Школьник
Студент
Учитель
Личный кабинет
Назад
Вычисления
Банк ОГЭ
Скопировать ссылку
818605d5
Найдите значение выражения
2
⋅
28
⋅
56
\sqrt{2}\cdot \sqrt{28}\cdot \sqrt{56}
2
⋅
28
⋅
56
Ответ:
Ответить
Показать ответ
Ответ
Скрыть решение
Решение
Сообщить об ошибке
Решение
2
⋅
28
⋅
56
=
2
⋅
4
⋅
7
⋅
8
⋅
7
=
2
⋅
2
⋅
7
⋅
2
⋅
2
⋅
7
=
4
⋅
(
2
⋅
2
)
⋅
(
7
⋅
7
)
=
4
⋅
2
⋅
7
=
56
\begin{aligned}
{}& \sqrt{2}\cdot \sqrt{28}\cdot \sqrt{56} = \sqrt{2}\cdot \sqrt{4\cdot 7}\cdot \sqrt{8\cdot 7} = \\
& \sqrt{2}\cdot 2\cdot \sqrt{7}\cdot 2\cdot \sqrt{2}\cdot \sqrt{7} = \\
& 4\cdot (\sqrt{2}\cdot\sqrt{2})\cdot (\sqrt{7}\cdot\sqrt{7}) = \\
& 4\cdot 2\cdot 7 = 56
\end{aligned}
2
⋅
28
⋅
56
=
2
⋅
4
⋅
7
⋅
8
⋅
7
=
2
⋅
2
⋅
7
⋅
2
⋅
2
⋅
7
=
4
⋅
(
2
⋅
2
)
⋅
(
7
⋅
7
)
=
4
⋅
2
⋅
7
=
56
Ответ:
56
56
56
.
