[tex]\sqrt{11-6*\sqrt{2}}+\sqrt{2}[/tex]. Created by Нюта1000. algebra-ru

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October 2021 1 12 Report

[tex]\sqrt{11-6*\sqrt{2}}+\sqrt{2}[/tex]

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Nik133

$\sqrt{11-6*\sqrt{2}}+\sqrt{2}=\sqrt{9+2-6\sqrt 2}+\sqrt 2= \\ \\ = \sqrt{3^2-6\sqrt 2 +(\sqrt2)^2}+\sqrt 2=\sqrt{(3-\sqrt2)^2}+\sqrt 2= \\ \\ = ]3-\sqrt2[+\sqrt 2=3-\sqrt 2+\sqrt 2=3$

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