kill(all)$

van=facebook.com/LearningCalculus$

f(m):=m^(1/m)-2^(1/4)$
g(n):=n^(1/n)-3^(1/9)$

mewton(t):=float(subst(t,x,x-f(x)/diff(f(x),x)))$
newton(t):=float(subst(t,x,x-g(x)/diff(f(x),x)))$

m:mewton(1.239627729522762);
n:newton(1.150824821301106);

m*n;