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Fie numerele:
a=[tex] \sqrt{5+2 \sqrt{6}}[/tex]
b=[tex] \sqrt{5-2 \sqrt{6}}[/tex]
a)Calculati media aritmetica a numerelor a si b
b)Calculati media geometrica a numerelor a si b


Răspuns :

a) [tex] ma= \frac{a+b}{2} = \frac{ \sqrt{5+2 \sqrt{6} }+ \sqrt{5-2 \sqrt{6} } }{2} [/tex]

b)[tex]mg= \sqrt{ab} = \sqrt{ \sqrt{5 +2 \sqrt{6} } \sqrt{5- 2\sqrt{6} } } = \sqrt{( \sqrt{25-24} )}= \sqrt{ \sqrt{1} } =1[/tex]