Estimate the Value Of $\sqrt { 5 }$ By Using Three Iterations of Newton's Method to Solve the Three

Short Answer

Estimate the value of $\sqrt { 5 }$ by using three iterations of Newton's method to solve the equation $x ^ { 2 } - 5 = 0$ with initial estimate $x _ { 0 } = 2$ . Round your final estimate to four decimal places.