Question

Find an irrational number between $3$ and $4$

Answer 1

If a and b are two positive rational numbers such that ab is not a perfect square of a rational number, then $\sqrt{ab}$ is an irrational number lying between a and b.

So an irrational number between 3 and 4 is=$\sqrt{3\times 4}=\sqrt{3}\times \sqrt{4}=\sqrt{3}\times 2=2\sqrt{3}$