ICSE BoardEnglish MediumSTD 9MATHEMATICSIrrational Numbers4 Marks
Question
Write two rational numbers between $\sqrt{3}$ and $\sqrt{7}$
✓
Answer
Since square of $\sqrt{3}$ and $\sqrt{7}$ are $3$ and $7$ respectively.
Now, find two rational numbers between $3$ and $7$ such that each of them is a perfect square.
Let the number be $4$ and $5.76 ,$
where,
$\sqrt{4}=2$$\sqrt{5.76}=2.4$
Hence, required rational numbers between $\sqrt{3}$ and $\sqrt{7}$ are $2$ and $2.4 .$
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