Question

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1.Aflați media aritmetica si media geometrica a numerelor :
a) x= radical 3+ radical 2
y=radical 3+ radical 2

b) x= 1 pe radical 3 - 2
y= 1 pe radical 3+2

Answer 1

a) x= √3+ √2
y=√3+ √2
ma=(x+y)/2= (√3+ √2+√3+ √2)/2=2(√3+ √2)/2=(√3+ √2)
mg=√(x×y)= √(√3+ √2)(√3+ √2)=(√3+ √2)

b) x= 1/√3 - 2
y= 1/√3+2
ma=(x+y)/2= (1/√3- 2+1/√3+ 2)/2=1/√3
mg=√(x×y)= √(1/√3- 2)(1/√3+ 2)=√(1/3- 4)=√(1-12)/3=√(-11/3)=i√11/3
i²=-1