Question

0.567

irrational square root of a nonperfect square
irrational terminating decimal
rational non-repeating /non-terminating decimal
irrational repeating decimal
irrational non-repeating/non-terminating decimal
irrational square root of a perfect square
rational square root of a nonperfect square
rational repeating decimal
rational terminating decimal
rational square root of a perfect square

Answer 1

The number 0.567 is a **rational terminating decimal**.

Here's a brief explanation for some of the other terms you mentioned:

- **Irrational square root of a nonperfect square**: A number like √2, which cannot be expressed as a fraction and is the square root of a non-perfect square.
- **Irrational terminating decimal**: This is a contradictory term since irrational numbers cannot terminate or repeat.
- **Rational non-repeating/non-terminating decimal**: This also is a contradictory term; non-repeating and non-terminating decimals are irrational by definition.
- **Irrational repeating decimal**: There’s no such thing, as repeating decimals are rational.
- **Irrational non-repeating/non-terminating decimal**: An example is π or e, which cannot be expressed as fractions and continue infinitely without repeating.
- **Irrational square root of a perfect square**: This category does not exist, as the square root of a perfect square is always a rational number.
- **Rational square root of a nonperfect square**: This would also be contradictory; the square root of a non-perfect square is irrational.
- **Rational repeating decimal**: An example would be 0.333... (which represents 1/3).
- **Rational terminating decimal**: As stated, 0.567 is a good example, representing a fraction (in this case, 567/100).

Let me know if you have any further questions!