Question

Use the Newton's method to find the value of squareroot3.27 into six decimal places

Answer 1

do you recall the mechanics behind the method?

Answer 2

Yes i knoww the formula but idk how to apply it when the number is given

Answer 3

if i recall it right, start off with a value close to it; say:

sqrt(4 - x)

Answer 4

whats the formula, that might help me remeber it better tho

Answer 5

http://www-mitpress.mit.edu/sicp/chapter1/node9.html

does this look about right?

Answer 6

im not quite sure i never did square roots of it i only did with regulars

Answer 7

this is an idea that i think amounts to it

the equation of the line tangent to a close value can approximate it; then determine the difference between the linear approx and the real value and guess again. its just a fancy trial and error