Найдите значение выражения: .
[tex](\frac{\sqrt{30} }{\sqrt{10} } +\frac{\sqrt{60} }{\sqrt{20}} )\sqrt{27}[/tex]
[tex](\frac{\sqrt{30} }{\sqrt{10} } +\frac{\sqrt{60} }{\sqrt{20}} )\sqrt{27}[/tex]
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Ответ:
18
Объяснение:
[tex]( \frac{ \sqrt{30} }{ \sqrt{10} } + \frac{ \sqrt{60} }{ \sqrt{20} } ) \times \sqrt{27 } = \\ = ( \sqrt{ \frac{30}{10} } + \sqrt{ \frac{60}{20} } ) \times \sqrt{27} = \\ = ( \sqrt{3} + \sqrt{3} ) \times \sqrt{27} = \\ = 2 \sqrt{3} \times 3 \sqrt{3} = 2 \times 3 \times 3 = 18 [/tex]