question

simplify: $\sqrt{36y^{10}}$

you may assume any variables are greater than zero.

provide your answer below:

Question

question

simplify: $\sqrt{36y^{10}}$

you may assume any variables are greater than zero.

provide your answer below:

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Simplifying Radicals", "Perfect Squares" ], "new_concepts": [], "current_concepts": [ "Simplifying Radicals", "Perfect Squares" ] } ## Apply the product rule for radicals $$ \sqrt{36y^{10}} = \sqrt{36} \cdot \sqrt{y^{10}} $$ ## Simplify each square root $$ \begin{aligned} \sqrt{36} &= 6 \ \sqrt{y^{10}} &= y^{10/2} = y^5 \end{aligned} $$ ## Multiply the simplified terms $$ 6 \cdot y^5 = 6y^5 $$ Simplify: $\sqrt{36y^{10}}$ Provide your answer below: $6y^5$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Simplifying Radicals" ] }

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QUESTION IMAGE

Question

Explanation:

Apply the product rule for radicals

Simplify each square root

Multiply the simplified terms

Answer: