Posted by seria on .
The sum of two numbers is radical 3. Find the largest possible value for their product

precalc 
bobpursley,
Wondering if the numbers have to be real?
Assuming they can be complex.
M=10000000i+sqrt3
N=10000000i
the sum of M+N=sqrt3
MN=10^7m and if course no limit on that, so no limit on the product.
Now if M,N are restricted to the real domain.
let V=MN=(sqrt3N)N
dV/dN=sqrt32N setting equal to zero to maximize, then N= .5 sqrt3
and M= N, same value, so MN=3/4