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Calculati media geometrica a numerelor a= (√2+1) la puterea 2 si b= (1-√2) la putrea 2.

Răspuns :

ab=(1+√2)²(1-√2)²=((1-√2)(1+√2))²=(1-2)²=(-1)²=1
mg(a;b) =√ab=√1=1
as simple as that!

altfel, clasic, mai lung
(1+√2)²=1+2+2√2=3+2√2
(1-√2)²=....=3-2√2
ab= (3+2√2)(3-2√2)=9-8=1
m.g(a,b)=√ab=√1=1