$A=\sqrt{\dfrac{8+\sqrt{15}}{2}}$
$=\dfrac{\sqrt{16+2\sqrt{15}}}{2}$
$=\dfrac{\sqrt{(\sqrt{15}+1)^2}}{2}$
$=\dfrac{\sqrt{15}+1}{2}$
$B=\sqrt{\dfrac{4+\sqrt{7}}{2}}$
$=\dfrac{\sqrt{8+2\sqrt{7}}}{2}$
$=\dfrac{\sqrt{(\sqrt{7}+1)^2}}{2}$
$=\dfrac{\sqrt{7}+1}{2}$
$C=\sqrt{\dfrac{8-\sqrt{15}}{2}}$
$=\dfrac{\sqrt{16-2\sqrt{15}}}{2}$
$=\dfrac{\sqrt{(\sqrt{15}-1)^2}}{2}$
$=\dfrac{\sqrt{15}-1}{2}$
#Murad2805