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a fost răspuns

Calculati media geometrica si armonica a numerelor
a) √8 si 4√2
b) √125 si 4√5

Răspuns :

CosMarte
a). √8 = 2√2.
Media geometrica = √(2√2*4√2) = √16 = 4
Media armonica = 2 / (1/2√2 + 1/4√2) = 2 / 3/4√2 = 2*4√2 / 3 = 8√2 / 3.

b). √125 = 5√5
Media geometrica = √(5√5*4√5) = √100 = 10
Media armonica = 2 / (1/5√5 + 1/4√5) = 2 / 9/20√5 = 2*20√5 / 9 = 40√5 / 9