A$.$ Write a Fortran program to approximate $\sqrt[\phantom{2}]{3}$ using Newton's Rule. Hint: consider the

function $f(x)=x^2-3.$ Now find the value of $x$ for which $f(x)=0,$ starting from an initial

guess of $x=2.$ Write a Fortran program to iterate on Newton's Rule until you get a value

that changes to less than $0\mathrm{.}0001$ from the previous value. Confirm that the numerical

estimate you have of $\sqrt[\phantom{2}]{3}$ agrees with the accepted value to the accuracy expected. Attach

a screenshot of the code and the results from running the code.