[tex]x= \sqrt \frac{1+2+...+50}{1+2+...+51} [/tex]
[tex]x= \sqrt{ \frac{25*51}{51*26} } [/tex] (asa da dupa ce faci suma gauss) => [tex]x= \sqrt \frac{25}{26} } [/tex]
[tex]y= \sqrt \frac{26*53}{53*27} ; y= \sqrt \frac{26}{27}; [/tex]
a)[tex]x*y= \sqrt{ \frac{25}{26}* \frac{26}{27} }; x*y= \sqrt \frac{25}{27}[/tex]; [tex]x*y= \frac{5}{ 3\sqrt{3} }= \frac{5 \sqrt{3} }{3*3}= \frac{5 \sqrt{3} }{9}.[/tex]
b)[tex] \frac{x}{y}= \sqrt {\frac{25}{26}* \frac{27}{26}}[/tex]