[tex]a) m_{a}= \frac{a+b}{2}= \frac{ \sqrt{2}-1+ \sqrt{2}+1 }{2}= \sqrt{2} \\ m_{g}= \sqrt{a*b}= \sqrt{( \sqrt{2}-1)( \sqrt{2}+1) }= \sqrt{2-1}=1 \\ b) m_{a}= \frac{3- \sqrt{5}+3+ \sqrt{5} }{2}=3 \\ m_{g}= \sqrt{(3- \sqrt{5})(3+ \sqrt{5}) }= \sqrt{9-5}=2 \\ c) m_{a}= \frac{5 \sqrt{2}-7+5 \sqrt{2}+7 }{2}=5 \sqrt{2} \\ m_{g}= \sqrt{(5 \sqrt{2}-7)(5 \sqrt{2}+7 )}= \sqrt{50-49}=1 [/tex]
