Question

use the Babylonian method for your next estimate of the square root of 115 by using 10.7262 as your guess. what is your result

Answer 1

Goes like this

guess=g
n=number you are trying to find squaer root of

1. n/g=something
2. average g and something
3. (g+something)/2=e
4. n/e= sometihng
repeat steps 2 to 4 with e instead of g



115/10.7262=10.721411124163263784005519195987
average them
(10.721411124163263784005519195987+10.7262)/2=10.723805562081631892002759597994

the result is 10.723805562081631892002759597994