Let a simple graph G is a connected graph. The General Randic Index GR(G) of a graph G is defined as GR(G) = ∑ (�u �v )t ; uv E(G) where �u and �v are the degree of vertices u and v. If t = ,then it is called Randic index which is defined as:- uv E(G) R(G) =∑ √ In this paper, we construct the Randic and General Randic Indcies of Alkanes and unicyclic graphs with application to cycloalkanes.