[Sorry for the missing "Fractal coordinates" subject line. And so is Stan Isaacs for our stage-whispered puzzle business.] (c1) (fancy_display:false,showtime:true,sqrt(4^(3/7)-1),%%=subst([7=s,s=7],denest_radicals(%%))) Time= 22913 msecs 6/7 5/7 3/7 1/7 3/7 - 2 + 2 + 2 + 2 2 - 1 (d1) sqrt(4 - 1) = --------------------------------- sqrt(7) (c2) (sqrt(5^(6/7)-132*5^(1/7)+164),%%=denest_radicals(%%)) Time= 420 msecs 6/7 1/7 (d2) sqrt(5 - 132 5 + 164) = 6/7 5/7 3/7 2/7 1/7 - 2 5 + 2 5 - 5 + 6 5 - 2 5 - 2, the latter is the positive square root yet has four of its six terms negative. Still no luck with sqrt(binomial) = (>=hex)anomial. --rwg senatorial rationales