[tex]( \sqrt{5} +\sqrt{2} )^2-\sqrt{2}( \sqrt{5}+\sqrt{2})-\sqrt{5}(\sqrt{2}-2\sqrt{5})=\\
\sqrt{5}^2+2 \sqrt{5} \sqrt{2}+ \sqrt{2}^2- \sqrt{10}- \sqrt{4}- \sqrt{10}+2 \sqrt{25}=\\
5+2 \sqrt{10} +2- \sqrt{10}-2- \sqrt{10} +2*5=\\
15+ \sqrt{10} - \sqrt{10} =15\\\\
=\ \textgreater \ p=15~apartine~N^*
[/tex]