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√5 is a/an ___________(a) natural number(b) whole number(c) rational number(d) irrational numberThe question was posed to me during a job interview.This is a very interesting question from Real Numbers and their Decimal Expansions in portion Number Systems of Mathematics – Class 9

Answer»

The correct answer is (d) irrational NUMBER

The explanation is: √5=2.236067…

This is not an integer, so it doesn’t belong to natural and whole number SET by DEFINITION. MOREOVER, expansion of √5 is non-terminating and non-recurring. Hence, it is an irrational number.



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