If we add or subtract an irrational number and a rational number (non-zero), then we get a/an __________ number.(a) natural(b) rational(c) irrational(d) rational or irrationalI had been asked this question during an interview.My question is based upon Representing Real Numbers on the Number Line & Real Numbers Operations in chapter Number Systems of Mathematics – Class 9

If we add or subtract an irrational number and a rational number (non-

1.	If we add or subtract an irrational number and a rational number (non-zero), then we get a/an __________ number.(a) natural(b) rational(c) irrational(d) rational or irrationalI had been asked this question during an interview.My question is based upon Representing Real Numbers on the Number Line & Real Numbers Operations in chapter Number Systems of Mathematics – Class 9
Answer» The correct choice is (c) IRRATIONAL Easiest explanation: LET’s take TWO non-zero numbers to understand this. One rational and one irrational number. Consider two numbers, 3 and \(\sqrt{2}\) Adding these two, we get 3 + \(\sqrt{2}\) Now, \(\sqrt{2}\) = 1.414213… Expansion of √2 is non-terminating, hence result of 3 + \(\sqrt{2}\) would be non-terminating and non-recurring. The same will happen while SUBTRACTING this. Hence, we can say that if we add or subtract an irrational number and a rational number (non-zero) then we get an irrational number.

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