Q. 5 A5.0( 3 Votes )

Prove that following numbers are irrational :

6 + √2

Answer :

Let us assume 6 + is rational

6 + can be written in the form where a and b are co-prime.


Hence, 6 + =


= – 6


=


=



Since, rational ≠ irrational


This is a contradiction.


, Our assumption is incorrect.


Hence, 6 + is irrational.


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