Question

Is 0.123124125..., radicand49, radicand17, 0.898989..., 0.567 A/An:

Irrational terminating decimal
Irrational non-repeating/non-terminating decimal
Irrational square root
Irrational square root of a nonperfect square
Rational non-repeating/non-terminating decimal
Rational square root of a perfect square
Rational square root of a nonperfect square

Answer 1

Let's analyze each term you provided:

1. **0.123124125...** - This decimal appears to be a non-terminating decimal that does not repeat in a consistent pattern, which makes it an **irrational non-repeating/non-terminating decimal**.

2. **radicand49 (√49)** - The square root of 49 is 7, which is a whole number. So this is a **rational square root of a perfect square**.

3. **radicand17 (√17)** - Since 17 is not a perfect square, its square root results in an irrational number. Thus, this is an **irrational square root of a nonperfect square**.

4. **0.898989...** - This is a repeating decimal (the "89" repeats). Therefore, it is a **rational non-repeating/non-terminating decimal**.

5. **0.567** - This is a terminating decimal and can be expressed as a fraction (567/1000). So this is a **rational non-repeating/non-terminating decimal**.

In summary:
- 0.123124125...: **Irrational non-repeating/non-terminating decimal**
- radicand49: **Rational square root of a perfect square**
- radicand17: **Irrational square root of a nonperfect square**
- 0.898989...: **Rational repeating decimal**
- 0.567: **Rational non-repeating/non-terminating decimal**