Question

ex 4 toate detaliile va implora mult de tot
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Answer 1

 

$\displaystyle\bf\\\text{\bf Sub fiecare radical transformam numarul zecimal in fractie.}\\\\\frac{x}{\sqrt{0,\!07(1)}}=\frac{\sqrt{1,\!13(7)}}{\sqrt{0,\!4096}}\\\\\\\frac{x}{~\sqrt{\dfrac{71-7}{900}}~}=\frac{~\sqrt{\dfrac{1137-113}{900}}~}{\sqrt{\dfrac{4096}{10000}}}\\\\\\\frac{x}{~\sqrt{\dfrac{64}{900}}~}=\frac{~\sqrt{\dfrac{1024}{900}}~}{\sqrt{\dfrac{4096}{10000}}}$

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$\displaystyle\bf\\\frac{x}{~\dfrac{8}{30}~}=\frac{~\dfrac{32}{30}~}{~\dfrac{64}{100}~}\\\\\\\frac{x}{~\dfrac{8}{30}~}=\dfrac{32}{30}\cdot\dfrac{100}{64}\\\\\\\frac{x}{~\dfrac{8}{30}~}=\dfrac{1}{3}\cdot\dfrac{10}{2}\\\\\\\frac{x}{~\dfrac{8}{30}~}=\dfrac{10}{6}\\\\\\x=\dfrac{10}{6}\cdot\dfrac{8}{30}\\\\\\x=\dfrac{1}{6}\cdot\dfrac{8}{3}\\\\\\x=\dfrac{8}{18}\\\\\\\boxed{\bf~x=\dfrac{4}{9}}\\\\\\Raspuns corect~~C)~\dfrac{4}{9}$