Question

calcule o valor de
A) (raiz quadrada de 2,777...)

B) (Raiz quadrada de 1,777... sobre 0,111...)

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Answer 1

Explicação passo-a-passo:

A)

calcular a dízima 2,777...

$2+{7\over9}={18+7\over9}={25\over9}\\ \\ logo\\ \\ \sqrt{{25\over9}} ={5\over3}$

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B)

Calcular as dízimas

$1,777...=1+{7\over9}={9+7\over9}={16\over9}\\ \\ 0,111...={1\over9}\\ \\ logo\\ \\ {\sqrt{{16\over9}} \over\sqrt{{1\over9}} }={4\over3}\div{1\over3}={4\over3}\times{3\over1}={12\over3}=4$