Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: Square root of six
Replies: 21   Last Post: Aug 31, 2012 12:47 PM

 Messages: [ Previous | Next ]
 Jonathan J. Crabtree Posts: 355 From: Melbourne Australia Registered: 12/19/10
Re: Square root of six
Posted: Aug 30, 2012 4:12 AM

Hi Peter

I think what you have done is very interesting.

In the year 628 Brahmagupta wrote, "He, who distinctly and severally knows addition and the rest of the twenty logistics, and the eight determinations including measurement by shadow, is a mathematician."

The eight determinations are: addition, subtraction, multiplication, division, square, square root, cube and cube root.

As you know, Brahmagupta was the first to write about zero as a number and he gave the arithmetic rules for handling positives and negatives more than 1000 years before the western finally accepted negative numbers.

He also wrote about 'pulverizing' so maybe this word applies to your way of determining roots.

So if you haven't already, you may enjoy reading Chapters 12 and 18 from his book Brahmasphutasiddhanta. This book changed the way the world does math from Roman to Hindu Arabic numerals.

Brahmagupta at 628 CE may have been one of the first to create a way to solve* roots mentally. Until proven otherwise, you may be the most recent!

http://archive.org/details/algebrawitharith00brahuoft

India has certainly given the world much to be greatful for!

Jonathan Crabtree

* Perhaps similar to the Newton-Raphson iterative approach, yet simpler and created 1000 years earlier.

Date Subject Author
8/26/12 Peter Duveen
8/26/12 Wayne Bishop
8/26/12 Robert Hansen
8/27/12 Robert Hansen
8/28/12 GS Chandy
8/27/12 Peter Duveen
8/27/12 Wayne Bishop
8/27/12 Robert Hansen
8/28/12 kirby urner
8/28/12 Robert Hansen
8/28/12 kirby urner
8/28/12 Robert Hansen
8/28/12 kirby urner
8/29/12 Robert Hansen
8/29/12 kirby urner
8/29/12 Wayne Bishop
8/29/12 Peter Duveen
8/30/12 Jonathan J. Crabtree
8/30/12 Peter Duveen
8/30/12 kirby urner
8/30/12 Peter Duveen
8/31/12 kirby urner