express $\sqrt{200}$ in simplest radical form.

a $5\sqrt{4}$

b $20\sqrt{5}$

c $2\sqrt{50}$

d $10\sqrt{2}$

Question

express $\sqrt{200}$ in simplest radical form.

a $5\sqrt{4}$

b $20\sqrt{5}$

c $2\sqrt{50}$

d $10\sqrt{2}$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Square Roots" ], "new_concepts": [], "current_concepts": [ "Square Roots", "Radical Simplification" ] } ## Factorizar el radicando $$ 200 = 100 \times 2 $$ ## Aplicar la propiedad del producto $$ \sqrt{200} = \sqrt{100 \times 2} = \sqrt{100} \times \sqrt{2} $$ ## Simplificar la raíz cuadrada perfecta $$ \sqrt{100} \times \sqrt{2} = 10\sqrt{2} $$

(A) $5\sqrt{4}$

(B) $20\sqrt{5}$

(C) $2\sqrt{50}$

(D) $10\sqrt{2}$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Square Roots" ] }

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QUESTION IMAGE

Question

Explanation:

Factorizar el radicando

Aplicar la propiedad del producto

Simplificar la raíz cuadrada perfecta

Answer: