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Răspuns :

Răspuns:

Explicație pas cu pas:

a)a=8/7   b=3/125

(a+b)/2=(8/7+3/125)/2=(8×125+3×7)/2×7×125=(1000+21)/1750=1021/1750

(a×b)²=8×3/7×5×25        mg=2/5√6/35=0,4√6/35

b) a=25√3    b=12√3

ma=(a+b)/2=(25√3+12√3)/2=37√3/2=18,5√3

mg²=(25√3×12√3)=5²×3×2²×3         mg=2×3×5=30

c)a=√2     b=2√2

ma=(√2+2√2)/2=3√2/2=1,5√2

mg²=√2×2√2=2×2          mg=2

Răspuns:

Explicație pas cu pas:

[tex]m_{a}= \frac{a +b}{2} \\ \\ m_{g} =\sqrt{ab} \\ \\ a) m_{a}= \frac{\frac{8}{7} +\frac{3}{125} }{2}=\frac{\frac{1021}{875} }{2} =\frac{1021}{1750\\ } \\\\ m_{g} =\sqrt\frac{8}{7}\frac{3}{125} =\frac{2}{5} \sqrt{\frac{6}{35} } =\frac{2\sqrt{210} }{175} \\ \\ b)m_{a}= \frac{25\sqrt{3} +12\sqrt{3} }{2} =\frac{37\sqrt{3} }{2} \\ \\ m_{g} =\sqrt{25\sqrt{3}12\sqrt{3} }=30\sqrt{3} \\ \\ c)m_{a}= \frac{\sqrt{2} +2\sqrt{2} }{2}=\frac{3\sqrt{2} }{2} \\ \\ m_{g} =\sqrt{\sqrt{2}2\sqrt{2} }=2[/tex]