Let $T_{n}=\dfrac{2n+1+\sqrt{n^{2}+n}}{\sqrt{n+1}+\sqrt{n}}, U_{n}=\dfrac{1}{n^{2/3}+(n+1)^{2/3}+(n(n+1))^{1/3}}, V_{n}=\dfrac{1}{n\sqrt{n+1}+(n+1)\sqrt{n}}$ and let $T_{n},U_{n},V_{n}$ be roots be equation $x^{3}+b_{n}x^{2}+c_{n}x+d_{n}=0$ then the vale of $\sum { n=1 }^{ 63 }{ \sqrt { { T }^{ 2 }{ n }+{ U }^{ 2 }{ n }+{ V }^{ 2 }{ n }+2{ C }_{ n } } } $ is $P$.
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