Using number sets, it is found that:
- The rational numbers are: 5.0121212121..., [tex]-\frac{5}{250}, \sqrt{400}[/tex].
- The irrational numbers are: [tex]\sqrt{1000}, [tex]\sqrt[3]{30}, 0.015628...[/tex]
What are rational and irrational numbers?
- Rational numbers are numbers that can be represented by fractions, such as exact roots and repeating decimals.
- Irrational numbers cannot be represented by fractions, such as non-repeating decimals and non-exact roots.
Hence, in this problem:
- The rational numbers are: 5.0121212121..., [tex]-\frac{5}{250}, \sqrt{400}[/tex].
- The irrational numbers are: [tex]\sqrt{1000}, [tex]\sqrt[3]{30}, 0.015628...[/tex]
More about rational and irrational numbers can be found at https://brainly.com/question/10814303
