Identify the Newton-Raphson iteration scheme for finding the square root of 2.

A. $${{\text{x}}_{{\text{n}} + 1}} = \frac{1}{2}\left( {{{\text{x}}_{\text{n}}} + \frac{2}{{{{\text{x}}_{\text{n}}}}}} \right)$$

B. $${{\text{x}}_{{\text{n}} + 1}} = \frac{1}{2}\left( {{{\text{x}}_{\text{n}}} - \frac{2}{{{{\text{x}}_{\text{n}}}}}} \right)$$

C. $${{\text{x}}_{{\text{n}} + 1}} = \frac{2}{{{{\text{x}}_{\text{n}}}}}$$

D. $${{\text{x}}_{{\text{n}} + 1}} = \sqrt {2 + {{\text{x}}_{\text{n}}}} $$

Answer: Option A