?

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 () that is made up of whole numbers.

The second number is .

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 . 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.