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(5-2√3)² cat face acest rezultat?

Răspuns :

Icecon2005
(5-2√3)² =5² - 2×5×2√3 + 2²×(√3)²=25 - 20√3+4×3=25 + 12 - 20√3 = 37-20√3
   
[tex](5-2\sqrt3~)^2 = 5^2 +2\times 5\times(-2\sqrt3) + (-2\sqrt3)^2 =\\\\ =25 -20\sqrt3 + 12 = \boxed{37-20\sqrt3}[/tex]



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