find three irrational numbers between root 2 and root 3

root 2 ~1.414 androot 3 ~ 1.732A rational number is made bya ratio a/b where a, b integers3/2 = 1.5 is the obvious example.But there are infinitely many moreHere are just a few8/5 = 1.65/3 = 1.666666666...17/10 = 1.729/20 = 1.4531/20 = 1.5557/40 = 1.42569/40 = 1.725129/60 = 1.6125