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53001631
Найдите значение выражения
20
⋅
65
⋅
13
\sqrt{20}\cdot \sqrt{65}\cdot \sqrt{13}
20
⋅
65
⋅
13
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Решение
20
⋅
65
⋅
13
=
4
⋅
5
⋅
5
⋅
13
⋅
13
=
2
⋅
5
⋅
5
⋅
13
⋅
13
=
2
⋅
(
5
⋅
5
)
⋅
(
13
⋅
13
)
=
2
⋅
5
⋅
13
=
130
\begin{aligned}
{}& \sqrt{20}\cdot \sqrt{65}\cdot \sqrt{13} = \sqrt{4\cdot 5}\cdot \sqrt{5\cdot 13}\cdot \sqrt{13} = \\
& 2\cdot \sqrt{5}\cdot \sqrt{5}\cdot \sqrt{13}\cdot \sqrt{13} = \\
& 2\cdot (\sqrt{5}\cdot\sqrt{5})\cdot (\sqrt{13}\cdot\sqrt{13}) = \\
& 2\cdot 5\cdot 13 = 130
\end{aligned}
20
⋅
65
⋅
13
=
4
⋅
5
⋅
5
⋅
13
⋅
13
=
2
⋅
5
⋅
5
⋅
13
⋅
13
=
2
⋅
(
5
⋅
5
)
⋅
(
13
⋅
13
)
=
2
⋅
5
⋅
13
=
130
Ответ:
130
130
130
.
