Question

Aflati media geometrica a numerelor a=$\frac{1}{ \sqrt{2} } + \sqrt{3}$, si b= $2 \sqrt{3} - \sqrt{2}$
Ajutoor

Answer 1

Calculam:
[tex]m= \sqrt{ab}= \sqrt{( \frac{1}{ \sqrt{2} } + \sqrt{3} )(2 \sqrt{3} - \sqrt{2} )} = \\ = \sqrt{ \frac{2 \sqrt{3} }{ \sqrt{2} }-1+6- \sqrt{6} } = \\ = \sqrt{ \sqrt{6} +5- \sqrt{6} } = \\ = \sqrt{5} [/tex]