2√32 весь модуль под корнем...

Lenochka5 @Lenochka5

July 2022 1 14 Report

√|-18-8√2|-√|8√2-18|-1/2√32 весь модуль под корнем

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dtnth

Verified answer

$\sqrt{|-18-8\sqrt{2}|}-\sqrt{|8\sqrt{2}-18|}-\frac{1}{2}\sqrt{32}=\\ \sqrt{|18+8\sqrt{2}|}-\sqrt{|18-8\sqrt{2}|}-\frac{1}{2}\sqrt{16*2}=\\ \sqrt{|16+8\sqrt{2}+2|}-\sqrt{|16-8\sqrt{2}+2|}-\frac{1}{2}\sqrt{16}*\sqrt{2}=\\ \sqrt{|4^2+2*4*\sqrt{2}+(\sqrt{2})^2|}-\sqrt{|4^2-2*4*\sqrt{2}+(\sqrt{2})^2|}-\frac{1}{2}*4*\sqrt{2}=\\ \sqrt{|(4+\sqrt{2})^2|}-\sqrt{|(4-(\sqrt{2}))^2|}-2\sqrt{2}=\\ |4+\sqrt{2}|-|4-\sqrt{2}|-2\sqrt{2}=\\ 4+\sqrt{2}-(4-\sqrt{2})-2\sqrt{2}=\\ 4+\sqrt{2}-4+\sqrt{2}-2\sqrt{2}=0$

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