Răspuns:
Explicație pas cu pas:
x=[tex](3\sqrt{2} +1)^{2} = (3\sqrt{2} )^{2} +2*3\sqrt{2} +1=18+6\sqrt{2} +1=19+6\sqrt{2}[/tex]
[tex]y= (3\sqrt{2} -1)^{2} = (3\sqrt{2})^{2}-2*3\sqrt{2} +1= 18-6\sqrt{2} +1=19-6\sqrt{2}[/tex]
ma= [tex]\frac{x+y}{2}= \frac{19+6\sqrt{2} +19-6\sqrt{2} }{2}=\frac{38}{2}=19[/tex]
mg=[tex]\sqrt{x*y}=\sqrt{(19+6\sqrt{2})*(19-6\sqrt{2}) } =\sqrt{19^{2}-(6\sqrt{2}) ^{2} } =\sqrt{361-72} =\sqrt{289}=17[/tex]
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