Question

g The "divide" and "average" method, and old-time method for approximating the square root of any positive number aa, can be formulated as

Answer 1

The "divide" and "average" method, and old-time method for approximating the square root of any positive number, can be formulated as

$x=\frac{(x+a/x)}{2}$

where

$a$ is the number whose square root we need to find.

Estimate the error in approximation as

$\varepsilon =\left | \frac{x_{new}-x_{old}}{x_new} \right |$

Repeat this loop until this $\varepsilon$ is less than or equal to the specified value.