1. The problem asks to find which set of three numbers are all perfect square numbers. 2. A perfect square number is an integer that can be expressed as $n^2$ where $n$ is an integer. 3. Let's check each set: - Set 1: 2, 81, 144 - 2 is not a perfect square. - 81 = $9^2$, perfect square. - 144 = $12^2$, perfect square. - Not all are perfect squares. - Set 2: 4, 44, 144 - 4 = $2^2$, perfect square. - 44 is not a perfect square. - 144 = $12^2$, perfect square. - Not all are perfect squares. - Set 3: 4, 64, 225 - 4 = $2^2$, perfect square. - 64 = $8^2$, perfect square. - 225 = $15^2$, perfect square. - All are perfect squares. - Set 4: 9, 27, 100 - 9 = $3^2$, perfect square. - 27 is not a perfect square. - 100 = $10^2$, perfect square. - Not all are perfect squares. - Set 5: 9, 81, 216 - 9 = $3^2$, perfect square. - 81 = $9^2$, perfect square. - 216 is not a perfect square. - Not all are perfect squares. 4. Therefore, the only set with all three numbers as perfect squares is **4, 64, 225**.