If √x -1/(√x)=√3, then what is the value of x^4 +1/(x^4)?

If x - \(\frac{1}{x}\)  = n

then, $x^2 +\frac{1}{x^2}$ = n² + 2

If $\sqrt{x} -\frac{1}{\sqrt{x}}=\sqrt{3}$

 x + \(\frac{1}{x}\) = (\(\sqrt {3}\))² + 2 = 5

$x^2 +\frac{1}{x^2}$ = 5² - 2 = 23

$x^4 +\frac{1}{x^4}$ = 23² - 2 = 527