If \(\sqrt {\rm{x}} + \frac{1}{{\sqrt {\rm{x}} }} = \sqrt 5\), then, the value of \(\left( {\frac{{{{\rm{x}}^{12}}{\rm{\;}} + {\rm{\;}}{{\rm{x}}^{11}}{\rm{\;}} + {\rm{\;}}{{\rm{x}}^9}{\rm{\;}} + {\rm{\;}}{{\rm{x}}^8}}}{{{{\rm{x}}^{12}}{\rm{\;}} + {\rm{\;}}{{\rm{x}}^8}}}} \right)\) is –

1
\(\frac{{12}}{7}\)
2
\(\frac{9}{7}\)
3
\(\frac{{11}}{7}\)
4
\(\frac{{10}}{7}\)

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