Simplify

      1              1              1
------------ + ------------ + --------------
∛1 + ∛2 + ∛4   ∛4 + ∛6 + ∛9   ∛9 + ∛12 + ∛16

The denominator of each term is of the form  (x*x)^(1/3) + (x*(x+1))^1/3 + ((x+1)*(x+1))^1/3  for x=1,2,3.   Not sure if this helps at all.

Posted by Kenny M on 2025-04-13 06:06:06