Ответ: √2(√18-√2)=4.
Объяснение:
[tex]\sqrt{2}*(\sqrt{18} -\sqrt{2})=\sqrt{2}*\sqrt{18}-\sqrt{2}*\sqrt{2}=\sqrt{2*18} -\sqrt{2*2}=\\\\ =\sqrt{36}-\sqrt{4}=\sqrt{6^2}-\sqrt{2^2} =|6|-|2|=6-2=4.[/tex]
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Ответ: √2(√18-√2)=4.
Объяснение:
[tex]\sqrt{2}*(\sqrt{18} -\sqrt{2})=\sqrt{2}*\sqrt{18}-\sqrt{2}*\sqrt{2}=\sqrt{2*18} -\sqrt{2*2}=\\\\ =\sqrt{36}-\sqrt{4}=\sqrt{6^2}-\sqrt{2^2} =|6|-|2|=6-2=4.[/tex]