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Calculatii media aritmetica si media geometri pentru numerele :


[tex]a=\sqrt{3}+\sqrt{2} \\b=\sqrt{3}-\sqrt{2} \\[/tex]


Răspuns :

[tex]media \: aritmetica = \frac{a + b}{2} = \frac{ \sqrt{3} + \sqrt{2} + \sqrt{3} - \sqrt{2} }{2} = \frac{2 \sqrt{3} }{2} = \sqrt{3} [/tex]

[tex]media \: geometrica = \sqrt{( \sqrt{3} + \sqrt{2})( \sqrt{3} - \sqrt{2} ) } = \sqrt{ { \sqrt{3} }^{2} - { \sqrt{2} }^{2} } = \sqrt{3 - 2} = \sqrt{1} = 1[/tex]