Final answer:
Irrational numbers are numbers that cannot be expressed as a fraction and have decimal representations that neither terminate nor repeat.
Step-by-step explanation:
Irrational numbers are numbers that cannot be expressed as a fraction and have decimal representations that neither terminate nor repeat. To determine whether a number is irrational, you need to check if its square root is irrational. In this case, √4 = 2 and √9 = 3 are rational numbers because they can be expressed as fractions. However, √15 is an irrational number because it cannot be expressed as a fraction. Finally, 36 is a rational number because it can be expressed as the fraction 36/1