Explicație pas cu pas:
[tex]a = \sqrt{96} + \sqrt{294} - \sqrt{150} = 4 \sqrt{6} + 7 \sqrt{6} - 5 \sqrt{6} = 6 \sqrt{6} \\ [/tex]
[tex]b = \sqrt{384} - \sqrt{216} + \sqrt{24} = 8 \sqrt{6} - 6 \sqrt{6} + 2 \sqrt{6} = 4 \sqrt{6} \\ [/tex]
=>
[tex]m_{a} = \frac{a + b}{2} = \frac{6 \sqrt{6} + 4 \sqrt{6} }{2} = \frac{10 \sqrt{6} }{2} = \bf 5 \sqrt{6} \\ [/tex]
[tex]m_{g} = \sqrt{a \cdot b} = \sqrt{6 \sqrt{6} \cdot 4 \sqrt{6}} = \sqrt{ {6}^{2} \cdot {2}^{2} } = \bf 12 \\ [/tex]
