Write a program computes the square root of a number entered by the user.

Note: while there is a math function in the cmath library that computes a square root, do not use that function for this lab. Instead, write your own code to compute the square root using the algorithm described below.

The idea behind the algorithm is to repeatedly compute estimates of the squrare root until the desired accuracy is obtained. Each new estimate will be closer to the actual value of the square root. If x is the number for which the square root will be computed, the next estimate is $($previous estimate $+($x $/$ previous estimate$))/2.$

$($To understand why this algorithm works, see Methods of Computing Square Roots.$)$

The pseudocode for the algorithm is:

Get the number for which to compute the square root from the user $($x$)$

Set the estimate of the square root to x $/2\mathrm{.}0($initial estimate$)$

As long the difference between the computed square root and the previously computed square root is less than the desired accuracy:

Set the previous estimate to the current estimate

Compute the next estimate: $($previous estimate $+($x $/$ previous estimate$))/2$

Output the final estimated square root to the screen with $6$ decimal places after the decimal point.