which is a perfect square?

72
81
90
99

Question

which is a perfect square?

72
81
90
99

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Perfect Squares" ], "current_concepts": [ "Perfect Squares", "Square Roots" ] } ## Define a perfect square $$ n = k^2 \quad \text{for some integer } k $$ ## Test the given options $$ \begin{aligned} \sqrt{72} &\approx 8.49 otin \mathbb{Z} \ \sqrt{81} &= 9 \in \mathbb{Z} \quad (9^2 = 81) \ \sqrt{90} &\approx 9.49 otin \mathbb{Z} \ \sqrt{99} &\approx 9.95 otin \mathbb{Z} \end{aligned} $$ ## Identify the correct option $$ 81 = 9 \times 9 = 9^2 $$

(A) 72

(B) 81

(C) 90

(D) 99

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Perfect Squares" ] }

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QUESTION IMAGE

Question

Explanation:

Define a perfect square

Test the given options

Identify the correct option

Answer: