Question

Demonstrate that the digits of a perfect square cannot add to 2, 3, 5, 6, or 8

Answer 1

Since english is not my first language, what do you mean withe digits of a perfect square?

Answer 2

The length of the sides?

Answer 3

like 64: 6+4=10
144: 1+4+4=9

Answer 4

ahh, nice problem, lemme think about that for a mo

Answer 5

Hmm, brute force is no option? Simply consider all numbers whose digits add to the respective numbers?

Answer 6

yes

Answer 7

yes as in, yes it's an option or yes, it's no option?

Answer 8

consider all possible numbers

Answer 9

2 = 2 or 11
3 = 3 or 21 or 12 or 111
5 = 11111 or 11112 or 11121 or 11211 or 12111 or 21111 or etc etc etc

Answer 10

Simply show that all those numbers are not perfect squares
It's a bit of work, but it'd work