Question

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Calculati media geometrica si media aritmetica a numerelor
a.2,25 si 4,41
b.√2 si √8
c.8/√5 si √5/2

Answer 1

a) 2,25 = 225/100

4,41 = 441/100

M.a.(2,25;4,41) = (2,25 + 4,41)/2 = 6,66/2 = 3,33

M,g.(2,25;4,41) = radical [(225/100 × 441/100)] = radical ([225×441)/(100×100)] = (15×21)/(10×10) = 315/100 = 3,15

b) radical 2 si radical 8 = 2 radical 2

M.a.(radical 2, radical 8) = (radical 2 + 2 radical 2)/2 = 3 radical 2/2

M.g.(radical 2, radical 8) = radical (radical 2 × 2 radical 2) = radical (2×2) = radical 4 = 2

c) 8/ radical 5 = 8 radical 5/5

si radical 5/2

M.a.(8/radical 5 , radical 5/2) = (8 radical5/5 + Radical 5/2)/2 = (16 radical 5 + 5 radical 5)/20 = 21 radical 5/20

M.g.(8/radical 5, radical 5/2) = radical (8/radical 5 × radical 5/2) = radical (8/2) = radical 4 = 2