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Автор - zhivotova2006

Расположите в порядке возрастания числа:
 frac{ sqrt{2} }{2}
 frac{ sqrt{5} }{3}
 frac{1}{ sqrt{3} }

Ответ

Автор - Voronessa

Чтобы расположить в порядке возрастания, для начала нужно сравнить эти числа

(frac{ sqrt{2} }{2}{)}^{2} =  frac{2}{4} = 0.5     \   \ (frac{ sqrt{5} }{3} {)}^{2}   =  frac{5}{9}  = 0.(5)</p><p> \  \ (frac{1}{ sqrt{3} }  {)}^{2}  =  frac{1}{3}  = 0.(3) \  \  0.(3) < 0.5 < 0.(5) \

 Ответ: frac{1}{ sqrt{3} } ;: frac{ sqrt{2} }{2};: frac{ sqrt{5} }{3}  :

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