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Show that the reciprocal of an irrational no. Is irrational ?

Answer» let x be irrational and 1/x be rational then 1/x=a/b where a and b are integer where (a)not = 0 and (B) not= 0 Now x= 1/1/x =1/a/b = b/a where a and b are integer not = 0 , hence x is rational but this is contradiction becoz x is irrational so, 1/x is irrational ☺ hope it\'s helpful. ..


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