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[Risolto] matematica di seconda media

  

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Immagine WhatsApp 2023 05 30 ore 19.33.10

chi mi aiuta?

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Immagine WhatsApp 2023 05 30 ore 19.33.10

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$\sqrt{\dfrac{\big\{\frac{9}{20}+\big[\frac{9}{5}-\frac{3}{5}·\big(\frac{6-1}{3}\big)^2\big]·\frac{3}{2}\big\} : \big(\frac{3+10}{5}\big)}{\frac{2}{3}·\big[\frac{1}{6}+\frac{2}{13}·\big(\frac{1+12}{4}\big)\big]}}$ =

= $\sqrt{\dfrac{\big\{\frac{9}{20}+\big[\frac{9}{5}-\frac{3}{5}·\big(\frac{5}{3}\big)^2\big]·\frac{3}{2}\big\} : \frac{13}{5}}{\frac{2}{3}·\big[\frac{1}{6}+\frac{2}{13}·\frac{13}{4}\big]}}$ =

= $\sqrt{\dfrac{\big\{\frac{9}{20}+\big[\frac{9}{5}-\frac{3}{5}·\frac{25}{9}\big]·\frac{3}{2}\big\}·\frac{5}{13}}{\frac{2}{3}·\big[\frac{1}{6}+\frac{1}{1}·\frac{1}{2}\big]}}$ =

= $\sqrt{\dfrac{\big\{\frac{9}{20}+\big[\frac{9}{5}-\frac{1}{1}·\frac{5}{3}\big]·\frac{3}{2}\big\}·\frac{5}{13}}{\frac{2}{3}·\big[\frac{1}{6}+\frac{1}{2}\big]}}$ =

= $\sqrt{\dfrac{\big\{\frac{9}{20}+\big[\frac{9}{5}-\frac{5}{3}\big]·\frac{3}{2}\big\}·\frac{5}{13}}{\frac{2}{3}·\big[\frac{1+3}{6}\big]}}$ =

= $\sqrt{\dfrac{\big\{\frac{9}{20}+\big[\frac{27-25}{15}\big]·\frac{3}{2}\big\}·\frac{5}{13}}{\frac{2}{3}·\frac{4}{6}}}$ =

= $\sqrt{\dfrac{\big\{\frac{9}{20}+\frac{2}{15}·\frac{3}{2}\big\}·\frac{5}{13}}{\frac{2}{3}·\frac{2}{3}}}$ =

= $\sqrt{\dfrac{\big\{\frac{9}{20}+\frac{1}{5}·\frac{1}{1}\big\}·\frac{5}{13}}{\frac{4}{9}}}$ =

= $\sqrt{\big\{\frac{9}{20}+\frac{1}{5}\big\}·\frac{5}{13}·\frac{9}{4}}$ =

= $\sqrt{\big\{\frac{9+4}{20}\big\}·\frac{45}{52}}$ =

= $\sqrt{\frac{13}{20}·\frac{45}{52}}$ =

= $\sqrt{\frac{1}{4}·\frac{9}{4}}$ =

= $\sqrt{\frac{9}{16}} = \frac{3}{4}$ 

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