current objective
simplify expressions with higher roots

question

simplify: $\sqrt{49m^6}$.

provide your answer below:

Question

current objective
simplify expressions with higher roots

question

simplify: $\sqrt{49m^6}$.

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", "Simplifying Variable Radicals" ], "new_concepts": [], "current_concepts": [ "Simplifying Radicals", "Simplifying Variable Radicals", "Higher Roots" ] } ## Apply the product rule for radicals $$ \sqrt{49m^6} = \sqrt{49} \cdot \sqrt{m^6} $$ ## Simplify each radical factor $$ \begin{aligned} \sqrt{49} &= 7 \ \sqrt{m^6} &= |m^3| \end{aligned} $$ ## Combine the simplified factors $$ 7|m^3| $$ Simplify: $\sqrt{49m^6}$. Provide your answer below: $7|m^3|$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Simplifying Variable Radicals" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Apply the product rule for radicals

Simplify each radical factor

Combine the simplified factors

Answer: