Answer
Natural numbers: N/A
Integers: N/A
Rational numbers: N/A
Irrational numbers: $\sqrt 2$, $\pi$, $\sqrt 2 + 1$, $\pi+\frac{1}{2}$
Real numbers: $\sqrt 2$, $\pi$, $\sqrt 2 + 1$, $\pi+\frac{1}{2}$
Work Step by Step
Natural numbers: Are positive whole numbers (greater than zero). None of the numbers are whole numbers.
Integers: Are whole numbers that can be positive, negative or zero. None of the numbers are whole numbers.
Rational numbers: Are numbers that can be made into a fraction with integers. All of the numbers contain surds or $\pi$ which cannot be made into a fraction consisting of integers only.
Irrational numbers: Are numbers that cannot be made into a fraction with integers. All of the numbers cannot satisfy this criterion.
Real numbers: Are numbers that can exist on the number line. All of the numbers are real numbers.
