Choose the odd number: Three numbers are perfect squares; one is not. Identify the number that is NOT a perfect square.

Introduction / Context:Perfect squares are integers of the form n^2. This classification task asks you to spot the one number that is not a perfect square among otherwise familiar squares.

Given Data / Assumptions:

• Options: 144, 169, 196, 210.
• Recall: 12^2 = 144, 13^2 = 169, 14^2 = 196.

Concept / Approach:Check each option against nearby square values, or determine whether its integer square root exists. A non-square will not match any n^2 exactly.

Step-by-Step Solution:

Verification / Alternative check:Take integer square roots: sqrt(144) = 12, sqrt(169) = 13, sqrt(196) = 14 are integers. sqrt(210) is not an integer, confirming non-square status.

Why Other Options Are Wrong:They are exact perfect squares and hence do not answer the “odd number” request.

Common Pitfalls:Assuming that being near a square (e.g., 210 near 196 and 225) is enough. Only exact equality to n^2 counts.

Final Answer:210 is not a perfect square.