Question

Find the rational numbers between $\sqrt{ \frac{4}{9} }$ and √2

Answer 1

√4/9 =2/3

let,
 2/3 = a
√2 = b
 rational number between a and b = (a+b)/2
 =$\frac{\frac{2}{3}+ \sqrt{2}}{2}$
 =$\frac{\frac{2}{3}+ \frac{3\sqrt{2}}{3} }{2}$
 =$\frac{{3\sqrt{2}}+2 }{6}$