# Math Help - Newton's method

1. ## Newton's method

Use Newton's method to approximate the given number correct to eight decimal places

2. Originally Posted by sheva2291
Use Newton's method to approximate the given number correct to eight decimal places

Use the Newton method to approximate $\sqrt{130}$ , then multiply this approximation with 130 .

then let $x=\sqrt{130}$

square them , and let $f(x)=x^2-130$

then find f'(x) , and let the initial approximation be 10 ,

make use of

$
X_{n+1}=X_n-\frac{f(x)}{f'(x)}
$

3. Unless, of course, you mean $\sqrt[130]{130}$. In that case, use Newton's method with $f(x)= x^{130}- 130$.