Q. 503.8( 10 Votes )

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Answer :

Let us suppose there exist a positive integer for which is a rational number, where p and q are positive and q ≠ 0

Rationalizing the RHS,



( (a –b) (a +b) = a2 – b2)



Now


…… eq 2


Adding eq 1 and 2




Hence there is no positive integer n for which is a rational number


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