find the real solution of the following radical equation.

(9sqrt{a} - 57 = 42)

(a = ?)

Question

find the real solution of the following radical equation.

(9sqrt{a} - 57 = 42)

(a = ?)

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 Radical Equations" ], "current_concepts": [ "Radical Equations", "Solving Radical Equations" ] } ## Isolate the radical term $$ \begin{aligned} 9\sqrt{a} - 57 &= 42 \ 9\sqrt{a} &= 42 + 57 \ 9\sqrt{a} &= 99 \end{aligned} $$ ## Divide by the coefficient $$ \begin{aligned} \sqrt{a} &= \frac{99}{9} \ \sqrt{a} &= 11 \end{aligned} $$ ## Square both sides to solve for a $$ \begin{aligned} a &= 11^2 \ a &= 121 \end{aligned} $$ Find the real solution of the following radical equation. $9\sqrt{a} - 57 = 42$ $a =$ 121 { "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

Divide by the coefficient

Square both sides to solve for a

Answer: