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How do you expand and simplify [tex](1 + \sqrt\frac{2}{n-1})^n[/tex]?

I know this involves a binomial expansion and I can expand it to look something like

[tex]\left(\begin{array}{c}n&0\end{array}\right){\frac{2}{n-1}}^\frac{0}{2} + \left(\begin{array}{c}n&1\end{array}\right){\frac{2}{n-1}}^\frac{1}{2} + ...[/tex]

but how do you simplify this?

I know this involves a binomial expansion and I can expand it to look something like

[tex]\left(\begin{array}{c}n&0\end{array}\right){\frac{2}{n-1}}^\frac{0}{2} + \left(\begin{array}{c}n&1\end{array}\right){\frac{2}{n-1}}^\frac{1}{2} + ...[/tex]

but how do you simplify this?

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