What is the conjugate of 3i+4 ?

April 7, 2026Languages

ScanSolve AI Answer

April 7, 2026

Answer

4-3i

To find the conjugate of a complex number, we change the sign of its imaginary part.

Step 1: Identify the complex number. The given complex number is $3i+4$ . We can write this in the standard form $a+bi$ as $4+3i$ . Here, the real part is $a=4$ and the imaginary part is $b=3$ .

Step 2: Apply the definition of a conjugate. The conjugate of a complex number $a+bi$ is $a-bi$ . For $4+3i$ , the conjugate is $4-3i$ .

The conjugate of $3i+4$ is $\boxed{4-3i}$ .

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To find the conjugate of a complex number, we change the sign of its imaginary part.

Asked on April 7, 2026Languages

This languages problem is solved step by step below, with detailed explanations to help you understand the method and arrive at the correct answer.

ScanSolve AI AnswerAnswered on April 7, 2026

To find the conjugate of a complex number, we change the sign of its imaginary part. Step 1: Identify the complex number. The given complex number is 3i+4. We can write this in the standard form a+bi as 4+3i. Here, the real part is a=4 and the imaginary part is b=3. Step 2: Apply the definition of a conjugate. The conjugate of a complex number a+bi is a-bi. For 4+3i, the conjugate is 4-3i. The conjugate of 3i+4 is 4-3i.