Question

Calculati media aritmetica si media geometrica a numerelor:

x= √7/√3 +1
y= √7/√3 -1

Answer 1

$m_{a}= \frac{ \frac{ \sqrt{7} }{ \sqrt{3} }+1+ \frac{ \sqrt{7} }{ \sqrt{3}}-1 }{2} = \frac{ \frac{2 \sqrt{7} }{ \sqrt{3} } }{2}= \frac{2 \sqrt{7} }{2 \sqrt{3} } = \frac{ \sqrt{7} }{ \sqrt{3}}$
$m_{g} = \sqrt{( \frac{ \sqrt{7} }{ \sqrt{3} }+1)( \frac{ \sqrt{7} }{ \sqrt{3} }-1) } = \sqrt{ (\frac{ \sqrt{7} }{ \sqrt{3} }) ^{2}- 1^{2} } = \sqrt{ \frac{7}{3}-1 }= \sqrt{ \frac{4}{3} }$