Quantitative Aptitude Algebra Identities

If x2 – \(3\sqrt {2}x \) + 1 = 0, then what is the value of  \( {x^3} + \left( {\frac{1}{{{x^3}}}} \right)\) ?

1
\(30\sqrt 2 \)
2
\(30\sqrt 6 \)
3
\(45\sqrt 2 \)
4
\(15\sqrt 6 \)

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