Q. 21

Pro

Answer :

Let p be false.


It means the sum of an irrational and a rational number is rational.


Let r be a rational number.


Let √m is irrational, and n is rational number.


√m + n = r


√m = r – n


Now √m is irrational; whereas (r – n) is rational.


This is contradiction.


Hence our assumption was wrong.


p is true.


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