Rajasthan BoardEnglish MediumSTD 9MATHSNumber systems1 Mark
Question
An irrational number between $\sqrt{2}$ and $\sqrt{3}$ is:
✓
Answer
$\pi$ is irrational and $\frac{22}{7}$ is rational. Solution: A number which can neither be expressed as a terminating decimal nor as a repeating decimal is called an irrational number. So, $\pi=3.141592...$ is irrational. The numbers of the form $\frac{\text{p}}{\text{q}},$ where p and q are integers and $\text{q}\neq0,$ are known as rational numbers. So, $\frac{22}{7}$ is rational. Hence, the correct option is (d).
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