Let $G$ be a graph of order $n$. The Randić energy of $G$ is defined as $RE\left( G\right) =\sum_{i=1}^{n}\left\vert \rho _{i}\right\vert $, where $\rho _{1}\geq \rho _{2}\geq \cdots \geq \rho _{n}$ are the Randić eigenvalues of $G$. In this study, we present improved bounds for $RE(G)$ as well as a relationship between (ordinary) graph energy and $RE(G)$.