Question 8843
because this is a five digit square, we are squaring a 3 digit number that ends in 6 and is less than 250*250, but greater than 200*200

our choices then are
226^2=51076
236^2=55696
the only one that meets the criteria of a<b<c is 236^2
so the number is 55696
a+b+c = 20