Question

label each number as a perfect square or non-perfect square
14
36
484
600
52
2116
729
81
2208
perfect square
non-perfect square

Explanation:

Step1: Define perfect square

A perfect square is an integer equal to $n^2$, where $n$ is an integer.

Step2: Check 14

No integer $n$ satisfies $n^2=14$

Step3: Check 36

$6^2=36$

Step4: Check 484

$22^2=484$

Step5: Check 600

No integer $n$ satisfies $n^2=600$

Step6: Check 52

No integer $n$ satisfies $n^2=52$

Step7: Check 2116

$46^2=2116$

Step8: Check 729

$27^2=729$

Step9: Check 81

$9^2=81$

Step10: Check 2208

No integer $n$ satisfies $n^2=2208$

Answer:

• 14: Non-Perfect Square
• 36: Perfect Square
• 484: Perfect Square
• 600: Non-Perfect Square
• 52: Non-Perfect Square
• 2116: Perfect Square
• 729: Perfect Square
• 81: Perfect Square
• 2208: Non-Perfect Square