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## #1 2014-02-11 13:07:26

TheTick
Member
Registered: 2012-12-03
Posts: 27

### Something I noticed with square roots.

So first off I have not posted here for a LONG time, ever since I switched my major to nursing I have been quite busy and exposed to and needing to do much less maths than before(previous major was architecture.)

I still like it, however finding time is harder.

So back on topic, I was playing around in excel and happened to notice a peculiar thing with square roots.. maybe not particularly useful or exciting, but neat.

Here is what I found,

If you start with your first perfect square root 1 it takes 1 number to get there(from 0)

Next perfect square root, 4, will take 3 numbers to get to from the last perfect square root(1+3=4)

Next perfect square root, 9, will take 5 numbers to get to from the last perfect square root(4+5=9)

see the pattern yet?

to find the perfect square roots you just need to be able to add and understand odd numbers..

1=1
1+3=4
1+3+5=9
1+3+5+7=16
1+3+5+7+9=25
1+3+5+7+9+11=36

Just thought that was kind of neat, so I decided to share.. though lots of people on this forum probably already knew this =P.

Last edited by TheTick (2014-02-11 13:09:51)

Spooooon!!!

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## #2 2014-02-11 14:15:16

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,775
Website

### Re: Something I noticed with square roots.

Welcome back!

The right term is perfect square

Theorem The sum of first n odd numbers is n[sup]2[/sup]

Proof The first n odd numbers form an arithmetic progression starting from 1, with common difference 2 and n terms.

Thus, the sum of the numbers is

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.

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## #3 2014-02-11 21:15:56

bob bundy
Moderator
Registered: 2010-06-20
Posts: 7,979

### Re: Something I noticed with square roots.

And here in pictures.

Just thought that was kind of neat, so I decided to share.. though lots of people on this forum probably already knew this .

But you made an original (for you) discovery and that's great!

Bob

Last edited by bob bundy (2014-02-11 21:18:06)

Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

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## #4 2014-02-12 01:16:53

Nehushtan
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Registered: 2013-03-09
Posts: 887
Website

In other words

Blog