Which of the following is not irrational number?(a) \(\frac{\sqrt{9}}{2}\)(b) π(c) \(\frac{\sqrt{3}}{2}\)(d) \(\frac{\sqrt{11}}{2}\)This question was addressed to me during an interview.This key question is from Irrational Numbers in chapter Number Systems of Mathematics – Class 9

Which of the following is not irrational number?(a) \(\frac{\sqrt{9}}{

1.	Which of the following is not irrational number?(a) \(\frac{\sqrt{9}}{2}\)(b) π(c) \(\frac{\sqrt{3}}{2}\)(d) \(\frac{\sqrt{11}}{2}\)This question was addressed to me during an interview.This key question is from Irrational Numbers in chapter Number Systems of Mathematics – Class 9
Answer» Correct answer is (a) \(\frac{\sqrt{9}}{2}\) EASY EXPLANATION: \(\frac{\sqrt{9}}{2} = \frac{3}{2}\) where 3 and 2 are integers. So \(\frac{3}{2}\) is RATIONAL number by definition. π ≈ 3.14, \(\sqrt{3}\) ≈ 1.73 \(\sqrt{11}\) ≈ 3.31 As we can SEE that none of the above three numbers is integer so they are not rational number by definition. (Rational number = p/q where p and q are integers and q ≠ 0).

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