Школьник
Студент
Учитель
Личный кабинет
Назад
Вычисления
Банк ОГЭ
Скопировать ссылку
8847f28d
Найдите значение выражения
8
⋅
29
⋅
58
\sqrt{8}\cdot \sqrt{29}\cdot \sqrt{58}
8
⋅
29
⋅
58
Ответ:
Ответить
Показать ответ
Ответ
Скрыть решение
Решение
Сообщить об ошибке
Решение
8
⋅
29
⋅
58
=
2
3
⋅
29
⋅
2
⋅
29
=
2
⋅
2
⋅
29
⋅
2
⋅
29
=
2
⋅
(
2
⋅
2
)
⋅
(
29
⋅
29
)
=
2
⋅
2
⋅
29
=
116
\begin{aligned}
{}& \sqrt{8}\cdot \sqrt{29}\cdot \sqrt{58} = \sqrt{2^{3}}\cdot \sqrt{29}\cdot \sqrt{2\cdot 29} = \\
& 2\cdot \sqrt{2}\cdot \sqrt{29}\cdot \sqrt{2}\cdot \sqrt{29} = \\
& 2\cdot (\sqrt{2}\cdot\sqrt{2})\cdot (\sqrt{29}\cdot\sqrt{29}) = \\
& 2\cdot 2\cdot 29 = 116
\end{aligned}
8
⋅
29
⋅
58
=
2
3
⋅
29
⋅
2
⋅
29
=
2
⋅
2
⋅
29
⋅
2
⋅
29
=
2
⋅
(
2
⋅
2
)
⋅
(
29
⋅
29
)
=
2
⋅
2
⋅
29
=
116
Ответ:
116
116
116
.
