Media geometrică a numerelor:
a = 3√24 - 4√6 + 5√54
b = 3(2√96 - √24 + 3√6),
este egală cu: d) 36.
[tex]a=3\sqrt{24}-4\sqrt6+5\sqrt{54}=\\=6\sqrt6-4\sqrt6+6\sqrt6=\\=\bf8\sqrt6[/tex]
[tex]b=3(2\sqrt{96}-\sqrt{24}+3\sqrt6)=\\=3(9\sqrt6-2\sqrt6+3\sqrt6)=\\=3\times9\sqrt6=\\=\bf27\sqrt6[/tex]
Formula pentru media geometrică:
[tex]\bf\purple{\boxed{m_g=\sqrt{a\times b}}}[/tex]
[tex]m_g=\sqrt{8\sqrt6\times27\sqrt6}=\sqrt{8\times6\times27}=\sqrt{48\times27}=\sqrt{1296}=\bf36\\[/tex]
