simplify the following expression by combining like radicals.

\2\sqrt{216} + 7\sqrt{6}\

\?\sqrt{\quad}\

Question

simplify the following expression by combining like radicals.

\2\sqrt{216} + 7\sqrt{6}\

\?\sqrt{\quad}\

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", "Combining Like Radicals" ], "new_concepts": [], "current_concepts": [ "Simplifying Radicals", "Combining Like Radicals" ] } ## Simplify the first radical term $$ \begin{aligned} 2\sqrt{216} &= 2\sqrt{36 \times 6} \ &= 2 \times 6\sqrt{6} \ &= 12\sqrt{6} \end{aligned} $$ ## Combine the like radical terms $$ \begin{aligned} 12\sqrt{6} + 7\sqrt{6} &= (12 + 7)\sqrt{6} \ &= 19\sqrt{6} \end{aligned} $$ Simplify the following expression by combining like radicals. $2\sqrt{216} + 7\sqrt{6}$ $19\sqrt{6}$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Simplifying Radicals" ] }

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QUESTION IMAGE

Question

Explanation:

Simplify the first radical term

Combine the like radical terms

Answer: