a)
\frac{\sqrt3}{\sqrt2}=\frac{\sqrt3*\sqrt2}{\sqrt2*\sqrt2}=\frac{\sqrt6}{2}
b)
\frac{\sqrt{10}}{5\sqrt2}=\frac{\sqrt2*\sqrt5}{5\sqrt2}=\frac{\sqrt5}{5}
albo
\frac{\sqrt{10}}{5\sqrt2}=\frac{\sqrt{10}*\sqrt2}{5\sqrt2*\sqrt2}=\frac{\sqrt{20}}{5*2}=\frac{\sqrt{4*5}}{5*2}=\frac{2\sqrt5}{5*2}=\frac{\sqrt5}{2}
c)
\frac{3\sqrt6-3}{\sqrt3}=\frac{(3\sqrt6-3)*\sqrt3}{\sqrt3*\sqrt3}=\frac{3\sqrt{18}-3\sqrt3}{3}=\frac{3(\sqrt{18}-\sqrt3)}{3}=\sqrt{18}-\sqrt3=\sqrt{9*2}-\sqrt3=3\sqrt2-\sqrt3
d)
\frac{\sqrt6+\sqrt3}{\sqrt3}=\frac{\sqrt3(\sqrt2+1)}{\sqrt3}=\sqrt2+1