Question

Insert two irrational numbers between $5$ and $6$.

Answer 1

Find the irrational number between $5$ and $6$.

We know that, $5=\sqrt{25}$ and $6=\sqrt{36}$.

∴ Two irrational numbers can be taken from the following:

$\sqrt{26},\sqrt{27},\sqrt{28},..........,\sqrt{35}$

Hence, two irrational numbers between $5$ and $6$ can be $\sqrt{27}$ and $\sqrt{28}$.