Question

Insert a rational number and an irrational number between the following:

${\displaystyle \sqrt{2}}$ and ${\displaystyle \sqrt{3}}$

Answer 1

We know that, there are infinitely many rational and irrational values between any two numbers.

A rational number between ${\displaystyle \sqrt{2}}$ and ${\displaystyle \sqrt{3}}$ i.e., between 1.4142...... and 1.7320...... is 1.5.

An irrational number between ${\displaystyle \sqrt{2}}$ and ${\displaystyle \sqrt{3}}$ is 1.585585558..........