3 + \(\sqrt{2}\) is a/an __________ number. A. natural B. irrational

3-sqrt-2-is-a-an-number-a-natural-b-irrational

3 + \(\sqrt{2}\) is a/an __________ number.

A. natural

B. irrational

C. rational

D. whole

I had been asked this question in a national level competition.

This question is from Representing Real Numbers on the Number Line & Real Numbers Operations topic in portion Number Systems of Mathematics – Class 9

Correct choice is B. irrational

The explanation: \(\sqrt{2}\) = 1.414213…

Since the expansion of √2 is non-terminating and non-recurring, result of 3 + \(\sqrt{2}\) would be also non-terminating and non-recurring. So we can say that 3 + \(\sqrt{2}\) is an irrational number.