Use Newton's method to approximate the given number correct to eight decimal places
130Radical130
Use the Newton method to approximate $\displaystyle \sqrt{130}$ , then multiply this approximation with 130 .
then let $\displaystyle x=\sqrt{130} $
square them , and let $\displaystyle f(x)=x^2-130$
then find f'(x) , and let the initial approximation be 10 ,
make use of
$\displaystyle
X_{n+1}=X_n-\frac{f(x)}{f'(x)}
$