Question

\(\frac{1 + \sqrt{3}}{2}\) is ____________

(a) rational number

(b) irrational number

(c) natural number

(d) integer

I 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 1

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.