$$
[\sqrt{2-\sqrt{3}}(2-\sqrt{3})+\sqrt{2+\sqrt{3}}(2+\sqrt{3})]^{2}=?
$$
The given expression can also be written as:

$$
\left[\sqrt{(2-\sqrt{3})^{3}}+\sqrt{(2+\sqrt{3})^{3}}\right]^{2}=(2-\sqrt{3})^{3}+2+(2+\sqrt{3})^{3}=54
$$

(Arthur Paunz, Pécs.)

Number of solutions: 29.