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972c485b
Найдите значение выражения
6
2
⋅
6
11
⋅
22
6\sqrt{2}\cdot 6\sqrt{11}\cdot \sqrt{22}
6
2
⋅
6
11
⋅
22
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Решение
6
2
⋅
6
11
⋅
22
=
6
⋅
2
⋅
6
⋅
11
⋅
2
⋅
11
=
6
⋅
6
⋅
2
⋅
11
⋅
2
⋅
11
=
36
⋅
(
2
⋅
2
)
⋅
(
11
⋅
11
)
=
36
⋅
2
⋅
11
=
792
\begin{aligned}
{}& 6\sqrt{2}\cdot 6\sqrt{11}\cdot \sqrt{22} = 6\cdot \sqrt{2}\cdot 6\cdot \sqrt{11}\cdot \sqrt{2\cdot 11} = \\
& 6\cdot 6\cdot \sqrt{2}\cdot \sqrt{11}\cdot \sqrt{2}\cdot \sqrt{11} = \\
& 36\cdot (\sqrt{2}\cdot\sqrt{2})\cdot (\sqrt{11}\cdot\sqrt{11}) = \\
& 36\cdot 2\cdot 11 = 792
\end{aligned}
6
2
⋅
6
11
⋅
22
=
6
⋅
2
⋅
6
⋅
11
⋅
2
⋅
11
=
6
⋅
6
⋅
2
⋅
11
⋅
2
⋅
11
=
36
⋅
(
2
⋅
2
)
⋅
(
11
⋅
11
)
=
36
⋅
2
⋅
11
=
792
Ответ:
792
792
792
.
