Question

Write $5$ irrational numbers between $\sqrt{3}$ and $\sqrt{5}$

Answer 1

Now, the $5$ irrational numbers between $\sqrt{3}$ and $\sqrt{5}$ are as follows:

$a=\mathrm{1.7404004000....}$

$b=\mathrm{1.7505005000....}$

$c=\mathrm{1.8202002000....}$

$d=\mathrm{1.9303003000....}$

$e=\mathrm{2.101001000....}$

We observe that $\sqrt{3}<a<b<c<d<e<\sqrt{5}$