Răspuns:
a=24
b=6
Media aritmetica 15
Media geometrica 12
Explicație pas cu pas:
ridicand la patrat scapam de cate un radical, si desfacem parantezele:
ne ramane a=sqrt(5)-sqrt(3)+sqrt(5)-sqrt(3)+2(sqrt(5)+sqrt(3))+24-4sqrt(5)
sqrt(5)+sqrt(5)+2(sqrt(5))-4(sqrt(5))=0
-sqrt(3)-sqrt(3)+2sqrt(3)=0
si ne ramane a=24
La B, utilizand formula a^2-2ab+b^2
formam patrate sub radical, si scapam de radical
Astfel ne ramane
b=sqrt(5)-1+1+sqrt(5)+2(3-sqrt(5))
-1+1=0 si desfacem parantezele, astfel ramane
sqrt(5)+sqrt(5)+6-2(sqrt(5))
sqrt(5)+sqrt(5)-2(sqrt(5))=0
Rezulta ca b=6
Media aritmetica (24+6)/2=15
Media geometrica sqrt(24*6,2)=12
//radical de ordinul 2 din 144
//sqrt(144)=12
