Here are the matches based on the descriptions provided:
- 0.567: rational terminating decimal
- √49: rational square root of a perfect square
- 0.898989…: rational repeating decimal
- 0.123124125…: irrational non-repeating/non-terminating decimal
- √17: irrational square root of a nonperfect square
So the final matches are:
- 0.567 → rational terminating decimal
- √49 → rational square root of a perfect square
- 0.898989… → rational repeating decimal
- 0.123124125… → irrational non-repeating/non-terminating decimal
- √17 → irrational square root of a nonperfect square