Find any 4 irrational numbers between 1/4 and 1/3

Question

Find any 4 irrational numbers between \(\frac{1}{4}\) and \(\frac{1}{3}\)

Answer 1

\(\frac{1}{4}\) = 0.25 and \(\frac{1}{3}\) = 0.3333 = \(0.\bar3\)

In between 0.25 and \(0.\bar3\) there are infinitely many irrational numbers .

Four irrational numbers between 0.25 and \(0.\bar3\) are

0.2601001000100001 …

0.2701001000100001 …

0.2801001000100001 …

0.3101001000100001 …