Question

Find two irrational numbers between the rational numbers 5/7 and 9/10.​

Answer 1

$\frac{5}{7} = 0.714285 ...$

$\frac{9}{10} = 0.9$

Therefore, Any twp irrational numbers between these two numbers can be:

$1.) \: \: \frac{5 \sqrt{\pi} \sqrt[3]{e} }{ \phi} = 7.644025510016...$

$2.) \: \: 6 \times C_{10} = 0.740740734606...$

Where,

π = 3.141592... is the number Pi

e = 2.718281... is the Euler's number

φ is the golden ratio

C₁₀ = 0.12345678910... is the Champernowne's constant