Школьник
Студент
Учитель
Личный кабинет
Назад
Вычисления
Банк ОГЭ
Скопировать ссылку
2399682f
Найдите значение выражения
2
⋅
68
⋅
34
\sqrt{2}\cdot \sqrt{68}\cdot \sqrt{34}
2
⋅
68
⋅
34
Ответ:
Ответить
Показать ответ
Ответ
Показать решение
Решение
Сообщить об ошибке
Решение
2
⋅
68
⋅
34
=
2
⋅
4
⋅
17
⋅
2
⋅
17
=
2
⋅
2
⋅
17
⋅
2
⋅
17
=
2
⋅
(
2
⋅
2
)
⋅
(
17
⋅
17
)
=
2
⋅
2
⋅
17
=
68
\begin{aligned}
{}& \sqrt{2}\cdot \sqrt{68}\cdot \sqrt{34} = \sqrt{2}\cdot \sqrt{4\cdot 17}\cdot \sqrt{2\cdot 17} = \\
& \sqrt{2}\cdot 2\cdot \sqrt{17}\cdot \sqrt{2}\cdot \sqrt{17} = \\
& 2\cdot (\sqrt{2}\cdot\sqrt{2})\cdot (\sqrt{17}\cdot\sqrt{17}) = \\
& 2\cdot 2\cdot 17 = 68
\end{aligned}
2
⋅
68
⋅
34
=
2
⋅
4
⋅
17
⋅
2
⋅
17
=
2
⋅
2
⋅
17
⋅
2
⋅
17
=
2
⋅
(
2
⋅
2
)
⋅
(
17
⋅
17
)
=
2
⋅
2
⋅
17
=
68
Ответ:
68
68
68
.
