Are there squares S = n
2 such that when you add S and its digits the result is also a square?
For example, if S were 25 then 25+2+5 would also have to be a square.
If so, give an example.
If not, prove it.
(In reply to
yes by Daniel Adams)
I don't have to message you.
What is your methodology towards an accurate solution corresponding to this problem?