Question

Caluculati nedia aritmetica si media geomoetrica a numereelor:
a=2,(6)+radical 0,69(4)+1,5
b=90•[0,1(6)+0.(3)]

Answer 1

2,(6) = 24/9 
0,69(4) = 625/900 
1,5 =15/10 
0,1(6) = 15/90
0,(3) = 3/9

a = 24/9 + 625/900 + 15/10 = (24x100 + 625 + 15x90) / 900 = (2400+625+1350)/900 = 4375/900
b = 90 x (15/90 + 3/9) = 90 x ( 15+30) / 90 = 45 

m.a. = (4375/900 + 45) : 2 = (4375 + 40500)/1800 = 44875/1800 = 24,930(5) 

m.g. = √(4375/900 x 45) = √(196875/900) = 75√35 / 30 = 5√35/ 2