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Aflați media geometrică a numerelor a=(✓5-✓3)(✓3-1), b=(✓5+✓3)(✓3-1).

Răspuns :

[tex] m_g=\sqrt{(\sqrt5-\sqrt3)(\sqrt3-1)\cdot(\sqrt5+\sqrt3)(\sqrt3-1)}=\\ .\;\;\;\;=\sqrt{(\sqrt5^2-\sqrt3^2)(\sqrt3-1)^2}=\sqrt{2}\cdot(\sqrt3-1)}[/tex]