Maharashtra BoardEnglish MediumSTD 9MathsNumber System2 Marks
Question
Insert a rational and an irrational number between 2 and 2.5
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Answer
As, few rational numbers between 2 and 2.5 are: 2.1, 2.2, 2.3, 2.4, ...
And,
Since, $2=\sqrt{4}$ and $2.5=\sqrt{6.25}$
So, irrational number between 2 ans 2.5 are: $\sqrt{4.1},\sqrt{4.2}, \ ...,\sqrt{5} \ ...$
Hence, a rational and an irrational number can be 2.1 and $\sqrt{5},$ respectively. Disclaimer: There are infinite rational and irrational numbers between any two rational numbers.
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