Q. 14.1( 85 Votes )

Show that is 4√2

Answer :

Let us assume that 4√2 is a rational number



where, b≠0 and a, b are integers



a, b are integers 4b is also integer


is rational which cannot be possible


which is an irrational number


it is contradicting our assumption


the assumption was wrong


Hence, 4√2 is an irrational number


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