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Răspuns :

Răspuns:

[tex]M_{g} = 6\sqrt{2}[/tex]

Explicație pas cu pas:

[tex]a=|2\sqrt{6} - 6\sqrt{2}|= |\sqrt{24} -\sqrt{72} |=- \sqrt{24} +\sqrt{72} = -2\sqrt{6} + 6\sqrt{2}[/tex]

[tex]b= \sqrt{72} + \sqrt{24} = 6\sqrt{2} +2\sqrt{6}[/tex]

[tex]M_{g} =\sqrt{a*b}[/tex]

[tex]M_{g}=\sqrt{(-2 \sqrt{6} +6\sqrt{2})(6\sqrt{2} + 2\sqrt{6}) } \\[/tex]

[tex]M_{g} = \sqrt{6\sqrt{2}^{2} } \\[/tex]

[tex]M_{g} = 6\sqrt{2}[/tex]

[tex]a = |2 \sqrt{6} - 6 \sqrt{2} | \\ a = 6 \sqrt{2} - 2 \sqrt{6} [/tex]

[tex]b = \sqrt{72} + \sqrt{24} \\ b = 6 \sqrt{2} + 6 \sqrt{2} \\ b = 12 \sqrt{2} [/tex]

mg= media geometrica

[tex]mg = \sqrt{a \times b} \\ mg = \sqrt{(6 \sqrt{2} - 2 \sqrt{6} ) \times 12 \sqrt{2} } \\ mg = \sqrt{72 \times 2 - 24 \sqrt{12} } \\ mg = \sqrt{144 - 48 \sqrt{3} } \\ mg = 12 - \sqrt{48 \sqrt{3} } [/tex]