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Which of the following numbers is irrational and lies between 1 and 2?

Answer and explanation

Correct answer: \(\sqrt{2}\)

\(\sqrt{2}\) is irrational, and it lies between 1 and 2 because \(1^2<2<2^2\). Hence, it satisfies the required condition. \(\frac{3}{2}\) is rational, while 1 and 2 are the endpoints, not numbers strictly between them. Exam tip: Check both the type of number and its position in the given interval.

Related tags

Real NumbersIrrational NumbersNumber LineNumber SystemsMathematicsClass 9 Mcq

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