Algebra

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30 Mar 2012 09:29:57 IST
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Worlds toughest question
Engineering Entrance , JEE Main , JEE Main & Advanced , Mathematics , Algebra

(\sqrt{2} + \sqrt{3})^{1980}



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New kid on the Block

Joined: 30 Mar 2012
Posts: 1
30 Mar 2012 11:04:13 IST
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hii have some problem

Scorching goIITian

Joined: 10 Feb 2012
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30 Mar 2012 11:06:31 IST
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does this really have a solution??

New kid on the Block

Joined: 21 Mar 2012
Posts: 9
30 Mar 2012 11:07:10 IST
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where is it?????
sathyaram's Avatar

Blazing goIITian

Joined: 25 Jul 2011
Posts: 322
30 Mar 2012 12:05:31 IST
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yes it has...But only an expert in math can understand it :)

Scorching goIITian

Joined: 10 Feb 2012
Posts: 262
30 Mar 2012 16:11:56 IST
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I am not an expert in maths but i got the answer anyway... Great question Satyaram keep on posting such questionss.. i will rate you everytime if you do..
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Blazing goIITian

Joined: 25 Jul 2011
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30 Mar 2012 16:12:41 IST
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:) wats the ans?

Scorching goIITian

Joined: 10 Feb 2012
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30 Mar 2012 16:16:19 IST
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first digit after decimal point is 9

Scorching goIITian

Joined: 10 Feb 2012
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30 Mar 2012 16:20:46 IST
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first digit before the decimal point is also 9Indeed the question is tricky and misleading the aproximate value would be like this --------------------------------------------------- and goes one link this and then 99999.9999999like this you can get this by mathematical means.Any way I am not spoiling this question but leaving a hint: Binomial theorom can help

Scorching goIITian

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30 Mar 2012 16:21:19 IST
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Hey satyaram please reply if my answer is right
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Blazing goIITian

Joined: 25 Jul 2011
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30 Mar 2012 16:21:24 IST
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U r absolutely right and before is 7 dude....gimme explanation as well

Scorching goIITian

Joined: 10 Feb 2012
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30 Mar 2012 16:22:20 IST
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sorrry guys there is an error in my answer to first digit before decimal point....
sathyaram's Avatar

Blazing goIITian

Joined: 25 Jul 2011
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30 Mar 2012 16:25:30 IST
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Rate me if it challenged u !!! :)

Scorching goIITian

Joined: 10 Feb 2012
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30 Mar 2012 16:35:59 IST
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Hey satyaram i am getting before the decimal point 2 and after 9 not getting before the decimal point 7..

Scorching goIITian

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30 Mar 2012 16:37:18 IST
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Click like if you want a full fledged solution

Scorching goIITian

Joined: 10 Feb 2012
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30 Mar 2012 16:37:19 IST
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Click like if you want a full fledged solution

Scorching goIITian

Joined: 10 Feb 2012
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30 Mar 2012 16:37:19 IST
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Click like if you want a full fledged solution

Scorching goIITian

Joined: 10 Feb 2012
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30 Mar 2012 16:38:47 IST
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i will post the solution please wait for some time i will create an image and post here

Blazing goIITian

Joined: 21 Mar 2012
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30 Mar 2012 17:00:09 IST
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I too got the answer

Blazing goIITian

Joined: 21 Mar 2012
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30 Mar 2012 17:09:19 IST
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It involve concept of binomial and trick for higher power



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