posted by seria .
The sum of two numbers is radical 3. Find the largest possible value for their product
Wondering if the numbers have to be real?
Assuming they can be complex.
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.
dV/dN=sqrt3-2N setting equal to zero to maximize, then N= .5 sqrt3
and M= N, same value, so MN=3/4