Final answer:
The irrational numbers in the provided sets are √2, π, √5, and √3. These numbers cannot be expressed as simple fractions, making their decimal representations non-terminating and non-repeating.
Step-by-step explanation:
The question asks to circle the irrational numbers in each set provided. An irrational number is defined as a number that cannot be expressed as a simple fraction, meaning its decimal representation is non-terminating and non-repeating. For example, √2 is an irrational number because there are an infinite number of non-repeating decimals in its square root.
In set A (√2, π, 0.75), √2 and π are irrational. In set B (1/3, √5, 2.5), √5 is irrational. Set C (-1, 0, 1) does not contain any irrational numbers because all three are integers and therefore rational. Finally, in set D (√3, 4, 0.2), √3 is the only irrational number.
So the irrational numbers to be circled are √2, π, √5, and √3.