Question

Calculați media aritmetica si media geometrică a numerelor:

a) a=2-radical3, b=2+radical3.
b) a=9+4 radical2, b=9-4 radical 2.
c) a=( radical 3- radical 2) la putere 2, b=(radical 3+radical 2) la putere 2

Answer 1

a) ma= (a+b)/2 = (2-√3 +2+√3)/2 = 4/2 =2 
    mg=√a+b = √2-√3+2+√3 = √4= 2
(   +√3-√3=0  )
b) la fel ca la a. => ma=9 si mg=3√2
(  +4√2 - 4√2=0  )
c) ma= (a+b)/2 = [(√3-√2)² + (√3+√2)²]/2 = (3-2√6+2+3+2√6+2)/2= (6+4)/2=5
    mg= √a+b =...=√6+4=√10
(    +2√6-2√6=0      )