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

Multiple Choice

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 $x_{0}=2 \text {. }$ Round your final estimate to four decimal places.

A) 1.71
B) 1.6535
C) 2.2361
D) 2.2662