  In this paper, we consider the Randi\'{c} energy $RE$ of simple connected
graphs. We provide upper bounds for $RE$ in terms of the number of vertices and
the nullity of the graph. We present families of graphs that satisfy the
Conjecture proposed by Gutman, Furtula and Bozkurt \cite{Gutman1} about the
maximal RE. For example, we show that starlikes of odd order satisfy the
conjecture.
