[tex]2009 \sqrt{2011} \leqslant 2010 \sqrt{2010} [/tex]
introducem totul sub radical și calculăm
[tex] \sqrt{2009 {}^{2} \times 2011 } \leqslant \sqrt{2010 {}^{2} \times 2010 } \\ \\ \sqrt{2019{}^{2} \times 2011} \leqslant \sqrt{2010{}^{3}} \\ \\ \sqrt{4.076.361\times2011}\leqslant\sqrt{4.040.100\times2010} \\ \\ \sqrt{8.116.558.891} \leqslant \sqrt{8.120.601.000} \: \: | {}^{2} \\ \\ 8.116.558.891 \leqslant 8.120.601.000[/tex]
"Adevărat"
