Question

Sa se calculeze media proportionala a numerelor:

12√6 si 18√6

Answer 1

$Media \ proportionala=Media \ geometrica= \sqrt{x \cdot y} \\ x=12 \sqrt{6} ; \ y=18 \sqrt{6} . \\ \Rightarrow \ \sqrt{12 \sqrt{6} \cdot 18 \sqrt{6} } = \sqrt{216 \cdot \sqrt{6}^2 } = \sqrt{216 \cdot 6}= \sqrt{1 \ 296} =\boxed{36}.$