Question

Let x be a rational number and y be an irrational number. Is x+y
necessarily an irrational number? Give an example in support of your answer.​

Answer 1

Hi there!

Your Answer :-

Yes, it is a irrational number.

See the example below.

Let 3 be x.

Let root (3) be y.

So, 3 is rational but root(3) is not.

So, their sum would be irrational.

Hence, Proved.