Răspuns:
Explicație pas cu pas:
a)
[tex]\frac{121}{1024} =\frac{11^2}{32^2} =(\frac{11}{32})^2\\\\\sqrt{\frac{121}{1024}} =\sqrt{(\frac{11}{32})^2}= \frac{11}{32}[/tex]
b)
[tex]\frac{625}{621} =\frac{25 ^2}{19^2} =(\frac{25}{19})^2 \\\\\sqrt{\frac{625}{621}} = \sqrt{(\frac{25}{19})^2}=\frac{25}{19}[/tex]
c)
[tex]\frac{400}{625} =\frac{25*16}{25*25}=\frac{16}{25}=\frac{4^2}{5^2} =(\frac{4}{5})^2\\\\\\\sqrt{\frac{400}{625}} =\sqrt{(\frac{4}{5})^2} = \frac{4}{5}[/tex]
d)
[tex]\frac{324}{1296} =\frac{324}{4*324}=\frac{1}{4}=\frac{1}{2^2} =(\frac{1}{2})^2\\\\\sqrt{\frac{324}{1296}} =\sqrt{(\frac{1}{2})^2} = \frac{1}{2}[/tex]
e)
[tex]\frac{2500}{961} =\frac{50^2}{31^2} =(\frac{50}{31})^2\\\\\sqrt{\frac{2500}{961}} =\sqrt{(\frac{50}{31})^2} = \frac{50}{31}[/tex]
