What 3 numbers squared equals 2008?

Answer 1

There are only 2 numbers which can be squared to get 2008:

1. +√2008 ≈ 44.811; and
2. -√2008 ≈ -44.811

Unless you mean "...3 numbers squared whose productequals 2008", in which case there are infinitely many which are not integers (eg 1, 2, √502), and none which are.

Unless you mean "...3 whole numbers squared whose sum equals 2008", in which case:

There are 4 solutions:

1. {6, 6, 44}
2. {6, 26, 36}
3. {10, 12, 42}
4. {18, 28, 30}

(Though if the three integers must be different, the first solution fails and there are only 3 solutions, the last three listed above.)

Answer 2

There are several possible answers: (6, 26, 36), (10, 12, 42), (18, 28, 30)