корень125+2*корень80-2*корень45+3*корень20)корень5. Created by Javad97. algebra-ru

корень125+2*корень80-2*корень45+3*корень20)корень5...

August 2022 2 8 Report

корень125+2*корень80-2*корень45+3*корень20)корень5

CallMeMaybe

$(\sqrt{125}+2\sqrt{80}-2\sqrt{45}+3\sqrt{20})* \sqrt{5}=\\ (\sqrt{125}+\sqrt{320}-\sqrt{180}+\sqrt{180})*\sqrt{5}= \\ = (\sqrt{125}+\sqrt{320})* \sqrt{5}= \\ (\sqrt{5}*\sqrt{25}+\sqrt{5}*\sqrt{64})* \sqrt{5}=(5\sqrt{5}+8\sqrt{5})*\sqrt{5}= \\ \sqrt{5}(5+8)*\sqrt{5}=5*13=65$

3 votes Thanks 1

AlbuRin

$(\sqrt{125}+2\sqrt{80}-2\sqrt{45}+3\sqrt{20})*\sqrt{5}=\sqrt{125*5}+2\sqrt{80*5}-\\\\-2\sqrt{45*5}+3\sqrt{20*5}=\sqrt{625}+2\sqrt{400}-2\sqrt{225}+3\sqrt{100}= \\\\=25+2*20-2*15+3*10=25+40-30+30=65$

3 votes Thanks 0

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