Question

Find any two irrational numbers between $\sqrt{2}$ and $\sqrt{3}$.

Answer 1

We know,

$\sqrt{2}=\mathrm{1.414...}$

and,

$\sqrt{3}=\mathrm{1.732...}$

The two irrational numbers between $\sqrt{2}$ and $\sqrt{3}$ are

$\mathrm{1.565665666........}$ and $\mathrm{2.1676776777..............}$