Q. 21


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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