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(√5-√3)^2= ??????????

Răspuns :

(√5-√3)²=5-2√15+3=8-2√15=2(4-√15)
[tex]( \sqrt{5} - \sqrt{3} )^2=\ \textgreater \ \sqrt{5} ^2-2 \sqrt{15} + \sqrt{3} ^2=\ \textgreater \ 5-2 \sqrt{15} +3\\ =\ \textgreater \ 8-2 \sqrt{5} .\\\\ Formula~folosita:(a-b)^2=a^2-2ab+b^2[/tex]