solve: $\sqrt{m} + 5 = 12$

$m =$

Question

solve: $\sqrt{m} + 5 = 12$

$m =$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Radical Equations", "Solving for Variables" ], "current_concepts": [ "Radical Equations", "Solving for Variables" ] } ## Isolate the radical term $$ \begin{aligned} \sqrt{m} + 5 &= 12 \ \sqrt{m} &= 12 - 5 \ \sqrt{m} &= 7 \end{aligned} $$ ## Square both sides to solve for m $$ \begin{aligned} (\sqrt{m})^2 &= 7^2 \ m &= 49 \end{aligned} $$ ## Verify the solution $$ \begin{aligned} \sqrt{49} + 5 &= 7 + 5 \ &= 12 \end{aligned} $$ Solve: $\sqrt{m} + 5 = 12$ $m =$ 49 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Radical Equations" ] }

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QUESTION IMAGE

Question

Explanation:

Isolate the radical term

Square both sides to solve for m

Verify the solution

Answer: