what is the complex conjugate of the number $7 + 4i$?

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{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Complex Numbers" ], "new_concepts": [ "Complex Conjugate" ], "current_concepts": [ "Complex Numbers", "Complex Conjugate" ] } ## Identify the given complex number $$ z = 7 + 4i $$ ## Apply the definition of the complex conjugate $$ \bar{z} = \overline{a + bi} = a - bi $$ $$ \overline{7 + 4i} = 7 - 4i $$ What is the complex conjugate of the number $7 + 4i$? $7 - 4i$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Complex Conjugate" ] }

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Explanation:

Identify the given complex number

Apply the definition of the complex conjugate

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