select the correct answer.

what is the solution to the equation?

$\sqrt{x} + 3 = 12$

225
81
3
no solution

Question

select the correct answer.

what is the solution to the equation?

$\sqrt{x} + 3 = 12$

225
81
3
no solution

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Radical Equations" ], "new_concepts": [], "current_concepts": [ "Radical Equations" ] } ## Isolate the radical term $$ \begin{aligned} \sqrt{x} + 3 &= 12 \ \sqrt{x} &= 12 - 3 \ \sqrt{x} &= 9 \end{aligned} $$ ## Solve for x by squaring both sides $$ \begin{aligned} (\sqrt{x})^2 &= 9^2 \ x &= 81 \end{aligned} $$ ## Verify the solution $$ \begin{aligned} \sqrt{81} + 3 &= 9 + 3 = 12 \end{aligned} $$

225

81

3

no solution

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Radical Equations" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Isolate the radical term

Solve for x by squaring both sides

Verify the solution

Answer: