Школьник
Студент
Учитель
Личный кабинет
Назад
Вычисления
Банк ОГЭ
Скопировать ссылку
9de03912
Найдите значение выражения
5
5
⋅
4
7
⋅
35
5\sqrt{5}\cdot 4\sqrt{7}\cdot \sqrt{35}
5
5
⋅
4
7
⋅
35
Ответ:
Ответить
Показать ответ
Ответ
Скрыть решение
Решение
Сообщить об ошибке
Решение
5
5
⋅
4
7
⋅
35
=
5
⋅
5
⋅
4
⋅
7
⋅
5
⋅
7
=
5
⋅
4
⋅
5
⋅
7
⋅
5
⋅
7
=
20
⋅
(
5
⋅
5
)
⋅
(
7
⋅
7
)
=
20
⋅
5
⋅
7
=
700
\begin{aligned}
{}& 5\sqrt{5}\cdot 4\sqrt{7}\cdot \sqrt{35} = 5\cdot \sqrt{5}\cdot 4\cdot \sqrt{7}\cdot \sqrt{5\cdot 7} = \\
& 5\cdot 4\cdot \sqrt{5}\cdot \sqrt{7}\cdot \sqrt{5}\cdot \sqrt{7} = \\
& 20\cdot (\sqrt{5}\cdot\sqrt{5})\cdot (\sqrt{7}\cdot\sqrt{7}) = \\
& 20\cdot 5\cdot 7 = 700
\end{aligned}
5
5
⋅
4
7
⋅
35
=
5
⋅
5
⋅
4
⋅
7
⋅
5
⋅
7
=
5
⋅
4
⋅
5
⋅
7
⋅
5
⋅
7
=
20
⋅
(
5
⋅
5
)
⋅
(
7
⋅
7
)
=
20
⋅
5
⋅
7
=
700
Ответ:
700
700
700
.
