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a=3+2✓2 si b=3-2✓2 media aritimetica si media geometrica

Răspuns :


[tex]\it m_a = \dfrac{a+b}{2} = \dfrac{3+2\sqrt2+3-2\sqrt2}{2}=\dfrac{6}{2} =3 \\\;\\ \\\;\\ m_g = \sqrt{ab} = \sqrt{(3+2\sqrt2)(3-2\sqrt2)} = \sqrt{3^2-(2\sqrt2)^2}= \\\;\\ \\\;\\ = \sqrt{9- 8} =\sqrt1=1[/tex]  


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