Numerical solution of equations: calculation question

The equation $x^2 - 64 = 0$ has a positive root. To find this root, it is rearranged as $x = \frac{1}{2}\left(x + \frac{64}{x}\right)$. Using the iteration $x_{n+1} = \frac{1}{2}\left(x_n + \frac{64}{x_n}\right)$ with $x_0 = 2$, find the root correct to 3 decimal places.