Babylonian square root

Compute √a like a #Babylonian….

1) Make a guess x₀ > 0 for √a

2) The average x₁ = ½ (x₀ +a/x₀) is closer to √a than either x₀ or a/x₀

3) Iterating step 2 gives you a sequence x₁, x₂, x₃, … that converges to √a .

From FB

Leave a Reply

Your email address will not be published. Required fields are marked *

You may use these HTML tags and attributes: <a href="" title=""> <abbr title=""> <acronym title=""> <b> <blockquote cite=""> <cite> <code> <del datetime=""> <em> <i> <q cite=""> <s> <strike> <strong>

This site uses Akismet to reduce spam. Learn how your comment data is processed.