Find the nearest integer to the number $x$, if $x=\frac{1}{\sqrt[4]{\frac{5}{4}+1}-\sqrt[4]{\frac{5}{4}-1}}$.
![](https://cdn.mathpix.com/cropped/2024_05_06_53798a1e86d520071242g-17.jpg?height=183&width=1998&top_left_y=1486&top_left_x=10)
If the inequalities are verified by squaring, then \(1.9 < \frac{\sqrt{6} + \sqrt{2}}{2} < 2\).

## Answer

2.