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bbee2f70
Найдите значение выражения
5
⋅
28
⋅
35
\sqrt{5}\cdot \sqrt{28}\cdot \sqrt{35}
5
⋅
28
⋅
35
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Решение
5
⋅
28
⋅
35
=
5
⋅
4
⋅
7
⋅
5
⋅
7
=
5
⋅
2
⋅
7
⋅
5
⋅
7
=
2
⋅
(
5
⋅
5
)
⋅
(
7
⋅
7
)
=
2
⋅
5
⋅
7
=
70
\begin{aligned}
{}& \sqrt{5}\cdot \sqrt{28}\cdot \sqrt{35} = \sqrt{5}\cdot \sqrt{4\cdot 7}\cdot \sqrt{5\cdot 7} = \\
& \sqrt{5}\cdot 2\cdot \sqrt{7}\cdot \sqrt{5}\cdot \sqrt{7} = \\
& 2\cdot (\sqrt{5}\cdot\sqrt{5})\cdot (\sqrt{7}\cdot\sqrt{7}) = \\
& 2\cdot 5\cdot 7 = 70
\end{aligned}
5
⋅
28
⋅
35
=
5
⋅
4
⋅
7
⋅
5
⋅
7
=
5
⋅
2
⋅
7
⋅
5
⋅
7
=
2
⋅
(
5
⋅
5
)
⋅
(
7
⋅
7
)
=
2
⋅
5
⋅
7
=
70
Ответ:
70
70
70
.
