find the answer of this series

gourish · 2014-03-10 02:55:16

hi guys.... i was given a challenge to find the answer to the series that i am going to give you all now... i was asked to find it's answer in the simplest and shortest form. i actually did find it's answer but in a 'page long' form and i wanna confirm it with you guys so please try to find it's answer and tell the shortest approach to it's answer

find the value of sqroot(9*sqroot(8*sqroot(7*sqroot(6*sqroot(5*sqroot(4*sqroot(3*sqroot(2*sqroot(1)))))))))

FYI i do know that sqroot of 1 is just one but just for the consistency of the series it's there.... i hope to get it's answer pretty soon

thank you guys
cheers....:)

bobbym · 2014-03-10 03:43:51

Hi;

I am getting:

gourish · 2014-03-11 03:40:00

yeah same here... but i used log on this series and made it easier... but i am looking for some innovative way of finding the answer

bobbym · 2014-03-11 03:51:14

It is not a series. A series is a sum of terms. This is a nested irrational.

Why do you suspect that there is some innovative approach as you put it?

gourish · 2014-03-12 00:36:10

beacuse i was challenged to find one innovative and simple smart way of finding the answer to the nested irrational btw thanks for the term

bobbym · 2014-03-12 00:38:04

Hi;

That is not a lot to go on but I will keep an eye out for something.

gourish · 2014-03-12 00:44:20

thanks i appreciate your help

bobbym · 2014-03-12 01:27:57

Looking through the literature so far I found this

and this

as being closest in form but still quite different. Also, it is called a Nested Radical not Irrational as I wrote before.

gourish · 2014-03-12 04:38:37

oh cool! thanks bobbym.... those two forms seem quite interesting i might even challenge others to solve questions based on these...

bobbym · 2014-03-12 04:40:54

They are pretty well known so do not expect to stump anyone for long.

ShivamS · 2014-03-12 04:51:11

I don't mean to change the topic, but I've heard bobbym mention his notes or literature a few times. Do you have like a collection of notes from math texts you read?

bobbym · 2014-03-12 05:06:29

Hi ShivamS;

Yes I do. The best thing I ever learned was to write things down. For a zillion years I trusted everything to memory. Naturally, I forgot all of it like a dummy. Around 1993 I was watching a documentary on PBS about FLT. The documantary was horrible but I noticed finally that Fermat wrote in the margins. I started to do that. Eventually the glossing improved to where I could actually understand something 2 weeks later just by reading them.

Now, I use electronic notes. Two things are essential to have any success in mathematics when you are bumpkin like me. 1) Keep good notes. Understandable notes. 2) Be neat in your work! I am still working on it.

ShivamS · 2014-03-12 05:13:53

I have taken notes for just about all undergraduate texts I have read, just in case I forget something. Recently, when the amount of what I learn is so much, I find the notes really helpful.

bobbym · 2014-03-12 05:20:52

Hi

I have taken notes for just about all undergraduate texts I have read

Wunderbar, you are way ahead me when I was your age.

Math Is Fun Forum

#1 2014-03-10 02:55:16

find the answer of this series

#2 2014-03-10 03:43:51

Re: find the answer of this series

#3 2014-03-11 03:40:00

Re: find the answer of this series

#4 2014-03-11 03:51:14

Re: find the answer of this series

#5 2014-03-12 00:36:10

Re: find the answer of this series

#6 2014-03-12 00:38:04

Re: find the answer of this series

#7 2014-03-12 00:44:20

Re: find the answer of this series

#8 2014-03-12 01:27:57

Re: find the answer of this series

#9 2014-03-12 04:38:37

Re: find the answer of this series

#10 2014-03-12 04:40:54

Re: find the answer of this series

#11 2014-03-12 04:51:11

Re: find the answer of this series

#12 2014-03-12 05:06:29

Re: find the answer of this series

#13 2014-03-12 05:13:53

Re: find the answer of this series

#14 2014-03-12 05:20:52

Re: find the answer of this series

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