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g240
@g240
July 2022
1
5
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Преобразуйте выражение
(2√2-3√3)*(3√3+2√2)=
(6-√2)^2+3√32=
(√2-√18^2)-30
(5√7-13)(5√7+13)
примечание значок ^ -знак степени
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ksyhkakis
(2√2-3√3)(3√3+2√2)=(√8-√27)(√27+√8)=√216+√64-√729-√216=8-27=-19
(6-√2)^2+3√32=36-12√2-2+3√32=34-√288+√288=34
(√2-√18)^2-30=2-2√36+18-30=2-12+18-30=-22
(5√7-13)(5√7+13)=(√175-13)(√175+13)=√30625+13√175-13√175-169=175-169=6
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Answers & Comments
(6-√2)^2+3√32=36-12√2-2+3√32=34-√288+√288=34
(√2-√18)^2-30=2-2√36+18-30=2-12+18-30=-22
(5√7-13)(5√7+13)=(√175-13)(√175+13)=√30625+13√175-13√175-169=175-169=6