Question

Помогите решить номера 56,57,58

Answer 1

№ 56
$frac{ sqrt{3} }{ sqrt{27} } = sqrt{ frac{3}{27} }= sqrt{ frac{1}{9} } = frac{1}{3}$
$sqrt{ frac{3}{2}}= sqrt{ frac{3}{2}}* sqrt{ frac{2}{2}}= frac{ sqrt{6} }{2}= frac{2,449}{2}=1,225$

№ 57.
$sqrt{ frac{2}{3}}=[tex] sqrt{frac{2}{3}} * sqrt{frac{3}{3}} = frac{ sqrt{6} }{3}= frac{2,449}{3}=0,8163$
$sqrt{frac{3}{2}}= sqrt{frac{6}{4}} = frac{2,449}{4}=1,6122$
$sqrt{frac{3}{8}}= sqrt{frac{6}{16}}= frac{2,449}{16}=0,1530$
$sqrt{ frac{3}{32}}= sqrt{frac{6}{64}}= frac{2,449}{64}=0,0382$

№ 58.
$sqrt{5}* sqrt{2}* sqrt{10}= sqrt{5*2*10}= sqrt{100}=10$
$sqrt{14}* sqrt{2}* sqrt{28}= sqrt{14*2*28}= sqrt{784}=28$
$sqrt{10}* sqrt{5}* sqrt{32}= sqrt{10*5*32}= sqrt{1600}=40$
$sqrt{frac{2}{11}}*sqrt{frac{3}{11}}*sqrt{frac{2}{27}}= sqrt{x} sqrt{frac{2}{11}* frac{3}{11} *frac{2}{27}}=sqrt{frac{4}{1089}}= frac{2}{33}$
$sqrt{ frac{13}{15}}* sqrt{ frac{2}{5}}* sqrt{ frac{26}{3}}= sqrt{ frac{26*26}{15*15}}= frac{26}{15}=1 frac{11}{15}$
$sqrt{7}* sqrt{ frac{32}{35}}* sqrt{ frac{2}{5}}= sqrt{ frac{7*32*2}{35*5}}= sqrt{ frac{64}{25}}= frac{8}{5}=1 frac{3}{5}$