which number is rational?

$\sqrt{2}$

$\pi$

$\sqrt{10}$

$\sqrt{16}$

Question

which number is rational?

$\sqrt{2}$

$\pi$

$\sqrt{10}$

$\sqrt{16}$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Number Classification", "Irrational Numbers", "Perfect Squares" ], "new_concepts": [], "current_concepts": [ "Number Classification", "Irrational Numbers", "Perfect Squares" ] } ## Define rational and irrational numbers $$ \begin{aligned} &\text{Rational: can be expressed as } \frac{a}{b} \text{ where } a, b \in \mathbb{Z}, b e 0.\ &\text{Irrational: cannot be expressed as a simple fraction (e.g., non-perfect square roots, } \pi\text{).} \end{aligned} $$ ## Evaluate each option $$ \begin{aligned} &\sqrt{2} \approx 1.4142... \quad (\text{Irrational})\ &\pi \approx 3.1415... \quad (\text{Irrational})\ &\sqrt{10} \approx 3.1622... \quad (\text{Irrational})\ &\sqrt{16} = 4 = \frac{4}{1} \quad (\text{Rational}) \end{aligned} $$

(A) $\sqrt{2}$

(B) $\pi$

(C) $\sqrt{10}$

(D) $\sqrt{16}$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Number Theory", "Number Classification" ] }

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Question

Explanation:

Define rational and irrational numbers

Evaluate each option

Answer: