[math-fun] sqrt(binomial) = pentanomial

1/5 1/5 sqrt(4 - 3 ) = 3/5 4/5 3/5 2/5 2/5 4/5 1/5 1/5 - 2 3 + 3 + 2 2 3 - 2 3 + 2 --------------------------------------------------- 5 ~ 0.27161916566652. Also, I lied: 1/3 9 - 3 4 atan(----------) 1/2 4/3 4/3 1/3 4/3 5 3 (4 + 2 - 7) - 6 4 - 2 + 10 tan(----------------) = ------------------------------------------- 3 5 It isn't even trivial to *verify* this symbolically. Actually, you can just plug this into the triple angle formula and compare the two algebraic expressions. --rwg