Question

1.calculati media aritmetica si media geometrica a numerelor:
a)a=2-v3,b=2+v3
b)a=9+4v2,b=9-4v3
c)a=(v3-v2)put2,b=(v3+v2)put 2

Answer 1

ma=(a+b)/2  mg=√a+b

a.     ma=(2-√3+2+√3)/2=2      mg=√[(2-√3)(2+√3)]=√(4-3)=1

b.   ma=(9+4√2+9-4√2)/2=9    mg=√(9+4√2)(9-4√2)=√(81-32)=7

c.    ma=[(√3-√2)²+(√3+√2)²]/2=(3-2√6+2)(3+2√6+2)/2=(5-2√6)(5+2√6)=25-24=1


mg=√[(3-√2)²(√3+√2)²]=√(9-4)²=5