Classification – Odd one out (perfect squares) Exactly three of the following values are perfect squares. Identify the number that is not a perfect square and mark it as the odd one out.

Introduction / Context:Perfect squares are foundational in number properties. Many classification items rely on quickly recognizing square numbers near familiar benchmarks.

Given Data / Assumptions:

• Options: 361, 484, 529, 566
• Recall common squares: 19^2 = 361, 22^2 = 484, 23^2 = 529.

Concept / Approach:Compare each to a known square: if it matches k^2 exactly, it is a perfect square; if not, it is the outlier.

Step-by-Step Solution:361 = 19^2 → square.484 = 22^2 → square.529 = 23^2 → square.566 ≠ any k^2 → not a perfect square.

Verification / Alternative check:Locate 566 between 23^2 = 529 and 24^2 = 576. Since it is not equal to either boundary square, it is not a perfect square.

Why Other Options Are Wrong:

• 361: Confirmed square.
• 484: Confirmed square.
• 529: Confirmed square.
• None of these: One unique non-square exists (566).

Common Pitfalls:Assuming “near a square” implies square status. Only exact equality k^2 qualifies.

Final Answer:566