which numbers are irrational? check all that apply.

$\sqrt{196}$
$\sqrt{80}$
$\sqrt{16}$
$\pi$
$\sqrt{12}$
$\frac{7}{18}$

Question

which numbers are irrational? check all that apply.

$\sqrt{196}$
  $\sqrt{80}$
  $\sqrt{16}$
  $\pi$
  $\sqrt{12}$
  $\frac{7}{18}$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Irrational Numbers" ], "new_concepts": [], "current_concepts": [ "Irrational Numbers", "Perfect Squares" ] } ## Evaluate square roots of perfect squares $$ \begin{aligned} \sqrt{196} &= 14 \quad (\text{Rational}) \ \sqrt{16} &= 4 \quad (\text{Rational}) \end{aligned} $$ ## Evaluate non-perfect square roots and known constants $$ \begin{aligned} \sqrt{80} &\approx 8.944 \quad (\text{Irrational}) \ \pi &\approx 3.14159 \quad (\text{Irrational}) \ \sqrt{12} &\approx 3.464 \quad (\text{Irrational}) \end{aligned} $$ ## Evaluate fractional values $$ \frac{7}{18} = 0.3\overline{8} \quad (\text{Rational}) $$

$\sqrt{196}$

$\sqrt{80}$

$\sqrt{16}$

$\pi$

$\sqrt{12}$

$\frac{7}{18}$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Irrational Numbers" ] }

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Question

Explanation:

Evaluate square roots of perfect squares

Evaluate non-perfect square roots and known constants

Evaluate fractional values

Answer: