Difficulty: Easy
Correct Answer: 47
Explanation:
Introduction / Context:
This item checks rapid recognition of perfect squares. Among the given numbers, three are squares of integers, while one is not. Your task is to pick the non-square at a glance using common square values.
Given Data / Assumptions:
Concept / Approach:
Recall squares up to at least 20^2 and match. Alternatively, factorize: a perfect square’s prime exponents are all even.
Step-by-Step Solution:
Verification / Alternative check:
Take square roots: only 4, 64, 225 yield integer roots; 47 does not.
Why Other Options Are Wrong:
Common Pitfalls:
Confusing 225 with 250 or 256 (16^2). Remember 15^2=225.
Final Answer:
47
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