Question
Insert a rational and an irrational number between $2$ and $2.5$
✓
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.
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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