What equation must we consider in order to approximate √ 60 , if we are using Newton's method? 0 =

Question

What equation must we consider in order to approximate , if we are using Newton's method?

Answer 1

You could use Newton's method to calculate sqrt(60) if you start with with x₁=8.

Then you would have x_n+1=.5[x_n+(60/x_n)]

However, I would opt to do it this way: sqrt(60)=2sqrt(15) and I would use x₁=4.