  In this paper, we present a third-order iterative method based on
Potra-Pt{\'a}k method to compute the approximate multiple roots of nonlinear
equations. The method requires two evaluations of the function and one
evaluation of its first derivative per iteration and it has the efficiency
index equal to $3^{\frac{1}{3}}\approx 1.44225$. We describe the analysis of
the proposed methods along with numerical experiments including comparison with
existing methods. Moreover, the attraction basins are shown and compared with
other existing methods.
