Question

Find two irrational numbers between $786$ and $787$.

Answer 1

We know that the sum of a rational number and an irrational number is irrational number.

The irrational numbers between $786$ & $787$ are

$786+\frac{1}{\sqrt{2}}=\frac{786\sqrt{2}+1}{\sqrt{2}}$

& $786+\frac{1}{\sqrt{3}}=\frac{786\sqrt{3}+1}{\sqrt{3}}$