Solution:
Suppose there exists a positive integer p/q for which n is a rational number. q ≠ 0.

Show that there is no positive integer n which + is rational.
Solution: Suppose there exists a positive integer p/q for which n is a rational number. q ≠ 0.
20 Comments
abhey
18/9/2015 07:12:52 am
Does this question has any chance of coming in 10th term 1 ???
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waer
20/9/2015 05:00:36 am
yes curse
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Stumpy
1/6/2016 06:34:43 am
Yes
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Rajat
22/9/2015 10:16:44 pm
No it will not come... its not in N.C.E.R.T
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rajan
8/5/2016 05:26:17 am
No
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Deepthi sharma
31/5/2016 08:55:49 am
This problem is quite confusing..
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Shreyash
1/6/2016 06:35:42 am
Jsunil is the best
Reply
Tirth
15/6/2016 09:25:32 am
No ... Bcoz this sums are useful only in case of competive exams not for any ncert based exam papers ... If u r gonna have any exam like JEE then this question is very useful, according to me!!!
Reply
Iyer
9/8/2016 07:32:01 am
What happens in the adding 1 and 2 step
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Arya
19/9/2016 07:00:18 pm
I thinkit will come in the exam coz i hve sen this questions in many sample papers
Reply
Sayoni
11/1/2017 10:51:15 pm
Why doesn't √(n1)+ √(n+1) being rational directly imply that both √(n1) and √(n+1) are rational? Is there any condition where addition of two pure irrationals results in a rational number?
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Ansh
11/4/2017 12:26:48 am
Is there any other way to do it n why you used this method how do we know that we have reciprocal it and then use elimination method plz explain....
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Dhriti
13/4/2017 04:57:50 am
What is the meaning of the question????
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abhey
13/4/2017 07:52:47 am
it didnt come in the exams people ..now i am in class 12 and didnt see this question in this year's 10th and the previous year's 10th board exam...tho it can be found in rd sharma..school board might put ...but no schol board from this session ..hence ..hardly any chance ..if u r doubtful of having such type of questions..do the optionals and try to see the solutions of examplar....thnk u
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Dhriti
14/4/2017 12:16:48 am
Hmmm..
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varshini
22/4/2017 07:33:01 am
Very useful
Reply
Samaira
22/5/2017 08:05:16 am
So difficult
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