Школьник
Студент
Учитель
Личный кабинет
Назад
Вычисления
Банк ОГЭ
Скопировать ссылку
5ae609bf
Найдите значение выражения
3
5
⋅
2
13
⋅
65
3\sqrt{5}\cdot 2\sqrt{13}\cdot \sqrt{65}
3
5
⋅
2
13
⋅
65
Ответ:
Ответить
Показать ответ
Ответ
Скрыть решение
Решение
Сообщить об ошибке
Решение
3
5
⋅
2
13
⋅
65
=
3
⋅
5
⋅
2
⋅
13
⋅
5
⋅
13
=
3
⋅
2
⋅
5
⋅
13
⋅
5
⋅
13
=
6
⋅
(
5
⋅
5
)
⋅
(
13
⋅
13
)
=
6
⋅
5
⋅
13
=
390
\begin{aligned}
{}& 3\sqrt{5}\cdot 2\sqrt{13}\cdot \sqrt{65} = 3\cdot \sqrt{5}\cdot 2\cdot \sqrt{13}\cdot \sqrt{5\cdot 13} = \\
& 3\cdot 2\cdot \sqrt{5}\cdot \sqrt{13}\cdot \sqrt{5}\cdot \sqrt{13} = \\
& 6\cdot (\sqrt{5}\cdot\sqrt{5})\cdot (\sqrt{13}\cdot\sqrt{13}) = \\
& 6\cdot 5\cdot 13 = 390
\end{aligned}
3
5
⋅
2
13
⋅
65
=
3
⋅
5
⋅
2
⋅
13
⋅
5
⋅
13
=
3
⋅
2
⋅
5
⋅
13
⋅
5
⋅
13
=
6
⋅
(
5
⋅
5
)
⋅
(
13
⋅
13
)
=
6
⋅
5
⋅
13
=
390
Ответ:
390
390
390
.
