[tex] m_{g} = \sqrt{a*b} [/tex]
[tex]4 \sqrt{6}-7 \sqrt{2} = \sqrt{ 4^{2}*6} - \sqrt{ 7^{2}*2}= \sqrt{16*6} - \sqrt{49*2} = \sqrt{96} - \sqrt{98} [/tex], deci
[tex]a=7 \sqrt{2} -4 \sqrt{6} [/tex]
[tex]a*b=(7 \sqrt{2} -4 \sqrt{6} )(7 \sqrt{2} +4 \sqrt{6})[/tex]
folosim formula : [tex](a-b)(a+b)= a^{2} -b^{2} [/tex]
[tex]a*b=(7 \sqrt{2} ) ^{2} -(4 \sqrt{6} ) ^{2} =98-96=2 \\ m_{g} = \sqrt{a*b} = \sqrt{2} [/tex]
