Answer: See below.
Step-by-step explanation:
Let's go number by number.
Rational pretty much means you can put it into a fraction of whole numbers.
The first number is -81,572.
- This number is rational because it can be put into a fraction ([tex]\frac{-81572}{1}[/tex]) that is made up of whole numbers.
The second number is [tex]\sqrt{11}[/tex].
- This number is irrational because it cannot be put into a fraction of whole numbers.
- Keep in mind that most squareroots are irrational. Especially those that don't equal a whole number.
The third number is 5.636336333
- There is a pattern so the number is rational.
- Usually a pattrn means it can be put into a fraction.
The fourth number is [tex]\sqrt{16}[/tex]. This equals 4 if you solve it out.
- Since we just get 4, that certainly can be put into a fraction of whole numbers, so this is rational.
