Răspuns:
a)
ma=0.180(5)
mg=0.408248
b)
ma=2.12132
mg=2
c)
ma=32.04294
mg=30
Explicație pas cu pas:
a)media artimetica: [tex]\frac{\frac{1}{4}+\frac{1}{9}}{2}=\frac{\frac{13}{36}}{2}=\frac{13}{72}=0.1805[/tex]
media geometrica: [tex]\sqrt{\sqrt{\frac{1}{4}}\cdot\sqrt{\frac{1}{9}}}=\sqrt{\frac{1}{2}\cdot\frac{1}{3}}=\sqrt{\frac{1}{6}}=\frac{1}{\sqrt{6}}=\frac{\sqrt{6}}{6}=0.408248[/tex]
b)media aritmetica: [tex]\frac{\sqrt{2}+\sqrt{8}}{2}=\frac{\sqrt{2}+2\sqrt{2}}{2}=\frac{3\sqrt{2}}{2}=2.12132[/tex]
media geometrica: [tex]\sqrt{\sqrt{2}\cdot\sqrt{8}}=\sqrt{\sqrt{16}}=\sqrt{4}=2[/tex]
c)media artimetica: [tex]\frac{25\sqrt{3}+12\sqrt{3}}{2}=\frac{\left(25+12\right)\sqrt{3}}{2}=\frac{37\sqrt{3}}{2}=32.04294[/tex]
media geometrica: [tex]\sqrt{25\sqrt{3}\cdot12\sqrt{3}}=\sqrt{25\cdot3\cdot12}=\sqrt{900}=30[/tex]
