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Найдите значение выражения
3
3
⋅
2
7
⋅
21
3\sqrt{3}\cdot 2\sqrt{7}\cdot \sqrt{21}
3
3
⋅
2
7
⋅
21
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Решение
3
3
⋅
2
7
⋅
21
=
3
⋅
3
⋅
2
⋅
7
⋅
3
⋅
7
=
3
⋅
2
⋅
3
⋅
7
⋅
3
⋅
7
=
6
⋅
(
3
⋅
3
)
⋅
(
7
⋅
7
)
=
6
⋅
3
⋅
7
=
126
\begin{aligned}
{}& 3\sqrt{3}\cdot 2\sqrt{7}\cdot \sqrt{21} = 3\cdot \sqrt{3}\cdot 2\cdot \sqrt{7}\cdot \sqrt{3\cdot 7} = \\
& 3\cdot 2\cdot \sqrt{3}\cdot \sqrt{7}\cdot \sqrt{3}\cdot \sqrt{7} = \\
& 6\cdot (\sqrt{3}\cdot\sqrt{3})\cdot (\sqrt{7}\cdot\sqrt{7}) = \\
& 6\cdot 3\cdot 7 = 126
\end{aligned}
3
3
⋅
2
7
⋅
21
=
3
⋅
3
⋅
2
⋅
7
⋅
3
⋅
7
=
3
⋅
2
⋅
3
⋅
7
⋅
3
⋅
7
=
6
⋅
(
3
⋅
3
)
⋅
(
7
⋅
7
)
=
6
⋅
3
⋅
7
=
126
Ответ:
126
126
126
.
