in vacuum, F=14πε0q2r2.....(i)
Suppose, force between the charges is same when charges are r′ distance apart in dielectric.
F′=14πε0q2kr′2.......(ii)
From (i) and (ii), kr′2=r2 or r=√kr′
In the given situation, force between the charges would be
F′=14πε0q2(r2+√4r2)2=49q24πε0r2=4F9