Question

Media geometrica la : 5√2 + 7 si 5√2 -7
b) 2√24 si 9√6

Answer 1

[tex]m_g =\sqrt{(5 \sqrt{2}+7)( 5\sqrt{2}-7 ) }= \sqrt{(5 \sqrt{2})^2-7^2}= \sqrt{50-49}= \sqrt{1}=\boxed{\underline1} \\ m_g= \sqrt{2 \sqrt{24}*9\sqrt{6}}= \sqrt{18\sqrt{144}}=\sqrt{18*12}= \sqrt{216}= \boxed{\underline{6\sqrt{6} }} \\ 216|2 \\ 108|2 \\ ..54|2 \\ ..27|3 \\ ....9|3 \\ ....3|3 \\ [/tex]