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I think I need to use Free energy = (3/2)kBT((R^2)/(Nb^2) but am not sure

Consider a randomly branched polymer in a dilute solution. Let us assume that the radius of gyration for this polymer in an ideal state (in the absence of excluded volume interactions) is R0=bN1/4 where b is the Kuhn monomer size and N is the number of Kuhn monomers. Use a Flory theory to determine the size R of this randomly branched polymer in a good solvent with excluded volume v. What is the size R of a randomly branched polymer with N=1000,b=3A,v=21.6A3 ? Compare this size to the size of a linear chain with the same degree of polymerization in the same good solvent and in -solvent