Question

a² = 2013 + b²
Find the minimum value of a*b. (Steps Please)

Answer 1

The minimum value of ab is 0.

Answer 2

(a+b) (a-b)=2013+b²
a+b=2013 or a-b=2013
a=2013-b or 2013+b
so b is equal to zero
Because 0 is the only number that can sum and reduce without changing the values.
a*b=0