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: Math trick? Angst's Theorem??
Replies: 12   Last Post: Dec 4, 2012 8:33 AM

 Messages: [ Previous | Next ]
 Wally W. Posts: 283 Registered: 6/15/11
Re: Math trick? Angst's Theorem??
Posted: Dec 2, 2012 10:05 AM

On Sun, 02 Dec 2012 07:49:17 -0500, pete wrote:

>Existential Angst wrote:
>>
>> Try this on a calculator/spreadsheet:
>>
>> Take sq rt of 10, to as many places as poss..
>> Then take recip. What do you see?
>> For the calculationally lazy:
>> 3.162277660168 --> .3162277660168... !!!!
>> Weird coincidence? Predictable??
>> Angst's Theorem??

>
>
>Take sq rt of N, to as many places as poss..

N = 3:

sqrt(N)= 1.7320508075689

>Then take recip.

1/N = 0.57735026918963

>What do you see?

Nothing immediately interesting.

When working in base-10, I see interesting things only when N is an
integral power of 10.

>For the calculationally lazy:
> (1 / sq rt of N) = (sq rt of N) / N !!!!
>Weird coincidence?

It depends.

>Predictable??

Is what predictable?

Date Subject Author
11/24/12 Existential Angst
11/24/12 Poutnik
11/24/12 Existential Angst
11/24/12 HH
11/24/12 Wally W.
11/24/12 trj
11/24/12 Lord Androcles, Zeroth Earl of Medway
12/1/12 Sam Wormley
12/2/12 pete
12/2/12 Wally W.
12/2/12 pete
12/2/12 Wally W.
12/4/12 Michael Stemper