[tex]m = 12( \sqrt{10} - 1)[/tex]
[tex]n = 3+ \sqrt{90} [/tex]
[tex]n = 3 + 3 \sqrt{10} [/tex]
[tex]n = 3(1 + \sqrt{10} )[/tex]
[tex]n = 3( \sqrt{10} + 1)[/tex]
[tex]m_{g} = \sqrt{m \times n} [/tex]
[tex]m_{g} = \sqrt{12( \sqrt{10} - 1) \times 3( \sqrt{10} + 1) } [/tex]
[tex]m_{g} = \sqrt{12 \times 3( \sqrt{10} - 1)( \sqrt{10} + 1) } [/tex]
[tex]m_{g} = \sqrt{36[ {( \sqrt{10}) }^{2} - {1 }^{2} ]} [/tex]
[tex]m_{g} = \sqrt{36(10 - 1)} [/tex]
[tex]m_{g} = \sqrt{36 \times 9} [/tex]
[tex]m_{g} = \sqrt{36} \times \sqrt{9} [/tex]
[tex]m_{g} = 6 \times 3[/tex]
[tex]m_{g} = 18[/tex]
