[tex]= (-1)^{p+1} \cdot \sqrt{\dfrac{25}{6} } - (-1)^{p+1} \cdot \sqrt{\dfrac{36}{5} }[/tex]
[tex]= (-1)^{p+1} \cdot \dfrac{5}{\sqrt{6}} - (-1)^{p+1} \cdot \dfrac{6}{\sqrt{5}}[/tex]
[tex]= (-1)^{p+1} \cdot \dfrac{5\sqrt{6}}{6} - (-1)^{p+1} \cdot \dfrac{6\sqrt{5}}{5}[/tex]
[tex]= (-1)^{p+1} \cdot \dfrac{25\sqrt{6}}{30} - (-1)^{p+1} \cdot \dfrac{36\sqrt{5}}{30}[/tex]
[tex]= (-1)^{p+1} \cdot \dfrac{25\sqrt{6} - 36\sqrt{5}}{30}[/tex]