Răspuns:
[tex]P = \left\{\frac{6}{5};\,\frac{1}{2} ;\,\frac{7}{4};\,\frac{4}{3}\right\}[/tex]
Explicație pas cu pas:
[tex]M = \left\{1.44;\,\frac{36}{25};\, \frac{4}{16};\,3 \frac{1}{6};\,1,(7)\right\}[/tex]
[tex]P = \{x \,|\,x = \sqrt{y},\,\, y\in M\}[/tex]
Mulțimea P este formată din radicalii elementelor care aparțin mulțimii M.
[tex]M = \left\{\frac{144}{100};\, \frac{36}{25};\, \frac{4}{16} ;\, \frac{3\cdot 16+1}{16};\, \frac{17-1}{9}\right\} = \left\{\frac{144}{100};\,\frac{36}{25};\, \frac{4}{16} ;\, \frac{49}{16};\,\frac{16}{9}\right\} =[/tex]
[tex]= \left\{\left(\frac{12}{10}\right)^2;\, \left(\frac{6}{5}\right)^2;\, \left(\frac{2}{4}\right)^2;\, \left(\frac{7}{4}\right)^2;\, \left(\frac{4}{3}\right)^2\right\} =[/tex]
[tex]= \left\{\left(\frac{6}{5}\right)^2;\, \left(\frac{1}{2}\right)^2;\, \left(\frac{7}{4}\right)^2;\, \left(\frac{4}{3}\right)^2\right\}[/tex]
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