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Calculati media geometrica a numerelor: x=modul 6√3+3√11 modul si y=modul 3√11 -6√3

Răspuns :

x=|6√3+3√11| ⇒ x=6√3+3√11
y=|3√11-6√3| ⇒ y=6√3-3√11

[tex]Mg = \sqrt{x*y} \\ \\ Mg = \sqrt{(6 \sqrt{3} +3 \sqrt{11}) * \{(6 \sqrt{3} -3 \sqrt{11}) } } \\ \\ Mg = \sqrt{108-99} \\ \\ Mg= \sqrt{9} \\ \\ Mg = 3[/tex]

Sper ca te-am ajutat.

Mg - media geometrica
x=|6√3+3√11|
y=|3√11-6√3|
Media geometrica inseamna [tex] \sqrt{a*b} [/tex]
3√11=√99
6√3=√36*3=√108
cum 108>99=>6√3>3√11=>|3√11-6√3|=6√3-3√11

[tex] \sqrt{(6√3+3√11)*(6√3-3√11)} [/tex]=.[tex] \sqrt{36*3-9*11} [/tex]=[tex] \sqrt{9} [/tex]=3