Школьник
Студент
Учитель
Личный кабинет
Назад
Вычисления
Банк ОГЭ
Скопировать ссылку
1b772f61
Найдите значение выражения
6
3
⋅
6
7
⋅
21
6\sqrt{3}\cdot 6\sqrt{7}\cdot \sqrt{21}
6
3
⋅
6
7
⋅
21
Ответ:
Ответить
Показать ответ
Ответ
Скрыть решение
Решение
Сообщить об ошибке
Решение
6
3
⋅
6
7
⋅
21
=
6
⋅
3
⋅
6
⋅
7
⋅
3
⋅
7
=
6
⋅
6
⋅
3
⋅
7
⋅
3
⋅
7
=
36
⋅
(
3
⋅
3
)
⋅
(
7
⋅
7
)
=
36
⋅
3
⋅
7
=
756
\begin{aligned}
{}& 6\sqrt{3}\cdot 6\sqrt{7}\cdot \sqrt{21} = 6\cdot \sqrt{3}\cdot 6\cdot \sqrt{7}\cdot \sqrt{3\cdot 7} = \\
& 6\cdot 6\cdot \sqrt{3}\cdot \sqrt{7}\cdot \sqrt{3}\cdot \sqrt{7} = \\
& 36\cdot (\sqrt{3}\cdot\sqrt{3})\cdot (\sqrt{7}\cdot\sqrt{7}) = \\
& 36\cdot 3\cdot 7 = 756
\end{aligned}
6
3
⋅
6
7
⋅
21
=
6
⋅
3
⋅
6
⋅
7
⋅
3
⋅
7
=
6
⋅
6
⋅
3
⋅
7
⋅
3
⋅
7
=
36
⋅
(
3
⋅
3
)
⋅
(
7
⋅
7
)
=
36
⋅
3
⋅
7
=
756
Ответ:
756
756
756
.
