Question

Calculatii media aritmetica si media geometri pentru numerele :


$a=\sqrt{3}+\sqrt{2} \\b=\sqrt{3}-\sqrt{2}$

Answer 1

$media \: aritmetica = \frac{a + b}{2} = \frac{ \sqrt{3} + \sqrt{2} + \sqrt{3} - \sqrt{2} }{2} = \frac{2 \sqrt{3} }{2} = \sqrt{3}$

$media \: geometrica = \sqrt{( \sqrt{3} + \sqrt{2})( \sqrt{3} - \sqrt{2} ) } = \sqrt{ { \sqrt{3} }^{2} - { \sqrt{2} }^{2} } = \sqrt{3 - 2} = \sqrt{1} = 1$