Asked by abhishek11 | 8th Jan, 2010, 05:27: PM

Expert Answer:

Dear student,

Any square number can be written as sum of odd numbers

Ex:  4=1+3, 9=1+3+5, 16= 1+3+5+7.   ==> n2 = 1+3+5+.....+(2n-1) ,    6 can not be written as sum of odd number s as shown previously.  so, square root of 6 is not an rational number .

This is kind of indirect proof .  Consider it for time being.


Topperlearning team

Answered by  | 8th Jan, 2010, 06:08: PM

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