• Lv3:
$C=\sqrt{2+\sqrt3}$
$C\sqrt2=\sqrt{4+2\sqrt3}=\sqrt{(\sqrt3+1)^2}=\sqrt3+1$
$\to C=\dfrac{\sqrt3+1}{\sqrt2}=\dfrac{\sqrt6+\sqrt2}{2}$
• Lv4:
$C=\sqrt{\dfrac{8-\sqrt{15}}{2}}$
$=\sqrt{ \dfrac{16-2\sqrt{15}}{4}}$
$=\sqrt{ \dfrac{(\sqrt{15}-1)^2}{4}}$
$=\left| \dfrac{\sqrt{15}-1}{2}\right|$
$=\dfrac{\sqrt{15}-1}{2}$