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Media geometrica a nr. a=9•5 si b=2⁴•5 ...
•-inmultire


Răspuns :

a=9*5
a=45

b=2^4*5
b=80

√(a*b) 
√(45*80)
√3600=60 media geometrica
[tex]m.g. = \sqrt{a\cdot b} = \sqrt{(9\cdot 5)\cdot(2^4\cdot 5)} = \sqrt{9\cdot5\cdot2^4\cdot 5} = \sqrt{3^2\cdot5^2\cdot (2^2)^2} = \\ \\ = \sqrt{(3\cdot 5\cdot 2^2)^2}= 3\cdot 5\cdot 2^2 = 15\cdot 4 = 60 \\ \\ \Rightarrow \boxed{m.g. = 60}[/tex]