I have some long expressions with square roots in them, but I know that if I can simplify these expressions, the result shouldn't have square roots. But Mathematica is not able to simplify these expression. Assume all the variables are large than 0.
((5 Sqrt[hh (3 + hh)] (2 hh^2 + 3 Sqrt[hh (3 + hh)] +
2 hh (3 + Sqrt[hh (3 + hh)]))^2 (9 + 8 hh^2 +
12 Sqrt[hh (3 + hh)] + 8 hh (3 + Sqrt[hh (3 + hh)]))^3 (hh^2 +
4 hH (-1 + 4 hH) + hh (-1 + 8 hH)) (-1 + hh + 4 hL) (hh +
4 hL))/((-1 + c + 8 hh) (hh + Sqrt[hh (3 + hh)]) (3 + hh + Sqrt[
hh (3 + hh)]) (-3 + 2 hh + 2 Sqrt[hh (3 + hh)]) (3 + 2 hh +
2 Sqrt[hh (3 + hh)])^5 (9 + 2 hh + 2 Sqrt[hh (3 + hh)]) (3 +
4 hh + 4 Sqrt[hh (3 + hh)]) (9 + 4 hh + 4 Sqrt[hh (3 + hh)])))// Simplify[#, hh > 0 && hL > 0 && hH > 0 && c > 0] &
I've tried Expand, FullSimplify, etc, but non of them works.
Thanks for any advices!
Simplify
afterComplexExpand
rearranges things, but makes moreSqrt
expressions. $\endgroup$