3 + \(\sqrt{2}\) is a/an __________ number.(a) natural(b) irrational(c) rational(d) wholeI 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

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

1.	3 + \(\sqrt{2}\) is a/an __________ number.(a) natural(b) irrational(c) rational(d) wholeI 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
Answer» 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.

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