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\(\frac{1 + \sqrt{3}}{2}\) is ____________(a) rational number(b) irrational number(c) natural number(d) integerI got this question by my school principal while I was bunking the class.Enquiry is from Irrational Numbers topic in section Number Systems of Mathematics – Class 9

Answer»

Correct answer is (b) irrational NUMBER

For explanation I would say: ACCORDING to definition, a number is said to be irrational if it can’t be represented in the form of p/q, where p and q are integers and q ≠ 0.

Here, \(\sqrt{3}\) ≈ 1.73 which is not an integer. So as PER the definition, the given number is irrational number.



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