Question

Afla media geometrica si media armonica pentru numerele $28 \sqrt{3} si 12 \sqrt{3}$ .

Answer 1

$M.g.= \sqrt{28 \sqrt{3}*12 \sqrt{3} } = \sqrt{28*12*3} = \sqrt{2 ^{2}*7*2 ^{2} *3*3 } =12 \sqrt{7}$
$M.a.= \frac{28 \sqrt{3} +12 \sqrt{3} }{2} = 20 \sqrt{3}$
$M.h.= \frac{M.g.}{M.a.} = \frac{12 \sqrt{7} }{20 \sqrt{3} } = \frac{3 \sqrt{7} }{5 \sqrt{3} } = \frac{3 \sqrt{21} }{15} = \frac{ \sqrt{21} }{5}$