Here are the matches of the numbers with the correct descriptions:
-
0.123124125… - This represents a non-terminating, non-repeating decimal, which makes it an irrational number.
-
0.567 - This is a terminating decimal, making it a rational number.
-
√17 - The square root of 17 is an irrational number since 17 is not a perfect square.
-
√49 - The square root of 49 is exactly 7, which is a rational number because it can be expressed as the fraction 7/1.
-
0.898989… - This is a repeating decimal (0.89… repeated), classifying it as a rational number.
In summary:
- 0.123124125... → Irregular (irrational)
- 0.567 → Rational
- √17 → Irrational
- √49 → Rational
- 0.898989... → Rational